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Finding the Third Proportional to 150,457.50 and 233,720.44

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Solution

The third proportional to 150,457.50 and 233,720.44 is: 363,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,457.50 : 233,720.44 = 233,720.44 : x
  2. Step 2: Convert to fraction form
    150,457.50/233,720.44 = 233,720.44/x
  3. Step 3: Cross multiply
    150,457.50x = 233,720.44 × 233,720.44
  4. Step 4: Simplify right side
    150,457.50x = 54,625,242,905.19
  5. Step 5: Solve for x
    x = 54,625,242,905.19/150,457.50
  6. Step 6: Final answer
    x = 363,060.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.