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Finding the Third Proportional to 83,974.50 and 181,489.50

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Solution

The third proportional to 83,974.50 and 181,489.50 is: 392,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974.50 : 181,489.50 = 181,489.50 : x
  2. Step 2: Convert to fraction form
    83,974.50/181,489.50 = 181,489.50/x
  3. Step 3: Cross multiply
    83,974.50x = 181,489.50 × 181,489.50
  4. Step 4: Simplify right side
    83,974.50x = 32,938,438,610.25
  5. Step 5: Solve for x
    x = 32,938,438,610.25/83,974.50
  6. Step 6: Final answer
    x = 392,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.