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Finding the Third Proportional to 152,452.13 and 334,459.13

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Solution

The third proportional to 152,452.13 and 334,459.13 is: 733,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.13 : 334,459.13 = 334,459.13 : x
  2. Step 2: Convert to fraction form
    152,452.13/334,459.13 = 334,459.13/x
  3. Step 3: Cross multiply
    152,452.13x = 334,459.13 × 334,459.13
  4. Step 4: Simplify right side
    152,452.13x = 111,862,906,295.77
  5. Step 5: Solve for x
    x = 111,862,906,295.77/152,452.13
  6. Step 6: Final answer
    x = 733,757.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.