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Finding the Third Proportional to 207,658.69 and 314,221.78

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Solution

The third proportional to 207,658.69 and 314,221.78 is: 475,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.69 : 314,221.78 = 314,221.78 : x
  2. Step 2: Convert to fraction form
    207,658.69/314,221.78 = 314,221.78/x
  3. Step 3: Cross multiply
    207,658.69x = 314,221.78 × 314,221.78
  4. Step 4: Simplify right side
    207,658.69x = 98,735,327,811.92
  5. Step 5: Solve for x
    x = 98,735,327,811.92/207,658.69
  6. Step 6: Final answer
    x = 475,469.29

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