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Finding the Third Proportional to 240,457.50 and 375,244.50

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Solution

The third proportional to 240,457.50 and 375,244.50 is: 585,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,457.50 : 375,244.50 = 375,244.50 : x
  2. Step 2: Convert to fraction form
    240,457.50/375,244.50 = 375,244.50/x
  3. Step 3: Cross multiply
    240,457.50x = 375,244.50 × 375,244.50
  4. Step 4: Simplify right side
    240,457.50x = 140,808,434,780.25
  5. Step 5: Solve for x
    x = 140,808,434,780.25/240,457.50
  6. Step 6: Final answer
    x = 585,585.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.