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Finding the Third Proportional to 231,457.50 and 349,660.13

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Solution

The third proportional to 231,457.50 and 349,660.13 is: 528,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,457.50 : 349,660.13 = 349,660.13 : x
  2. Step 2: Convert to fraction form
    231,457.50/349,660.13 = 349,660.13/x
  3. Step 3: Cross multiply
    231,457.50x = 349,660.13 × 349,660.13
  4. Step 4: Simplify right side
    231,457.50x = 122,262,203,015.02
  5. Step 5: Solve for x
    x = 122,262,203,015.02/231,457.50
  6. Step 6: Final answer
    x = 528,227.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.