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Finding the Third Proportional to 206,452.69 and 290,728.13

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Solution

The third proportional to 206,452.69 and 290,728.13 is: 409,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452.69 : 290,728.13 = 290,728.13 : x
  2. Step 2: Convert to fraction form
    206,452.69/290,728.13 = 290,728.13/x
  3. Step 3: Cross multiply
    206,452.69x = 290,728.13 × 290,728.13
  4. Step 4: Simplify right side
    206,452.69x = 84,522,842,666.02
  5. Step 5: Solve for x
    x = 84,522,842,666.02/206,452.69
  6. Step 6: Final answer
    x = 409,405.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.