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Finding the Third Proportional to 115,897.50 and 244,456.31

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Solution

The third proportional to 115,897.50 and 244,456.31 is: 515,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,897.50 : 244,456.31 = 244,456.31 : x
  2. Step 2: Convert to fraction form
    115,897.50/244,456.31 = 244,456.31/x
  3. Step 3: Cross multiply
    115,897.50x = 244,456.31 × 244,456.31
  4. Step 4: Simplify right side
    115,897.50x = 59,758,888,721.10
  5. Step 5: Solve for x
    x = 59,758,888,721.10/115,897.50
  6. Step 6: Final answer
    x = 515,618.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.