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Finding the Third Proportional to 207,918 and 453,136.50

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Solution

The third proportional to 207,918 and 453,136.50 is: 987,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,918 : 453,136.50 = 453,136.50 : x
  2. Step 2: Convert to fraction form
    207,918/453,136.50 = 453,136.50/x
  3. Step 3: Cross multiply
    207,918x = 453,136.50 × 453,136.50
  4. Step 4: Simplify right side
    207,918x = 205,332,687,632.25
  5. Step 5: Solve for x
    x = 205,332,687,632.25/207,918
  6. Step 6: Final answer
    x = 987,565.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.