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Finding the Third Proportional to 218,200.71 and 338,651.82

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Solution

The third proportional to 218,200.71 and 338,651.82 is: 525,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,200.71 : 338,651.82 = 338,651.82 : x
  2. Step 2: Convert to fraction form
    218,200.71/338,651.82 = 338,651.82/x
  3. Step 3: Cross multiply
    218,200.71x = 338,651.82 × 338,651.82
  4. Step 4: Simplify right side
    218,200.71x = 114,685,058,046.69
  5. Step 5: Solve for x
    x = 114,685,058,046.69/218,200.71
  6. Step 6: Final answer
    x = 525,594.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.