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Finding the Third Proportional to 73,982.11 and 160,414.17

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Solution

The third proportional to 73,982.11 and 160,414.17 is: 347,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.11 : 160,414.17 = 160,414.17 : x
  2. Step 2: Convert to fraction form
    73,982.11/160,414.17 = 160,414.17/x
  3. Step 3: Cross multiply
    73,982.11x = 160,414.17 × 160,414.17
  4. Step 4: Simplify right side
    73,982.11x = 25,732,706,538.34
  5. Step 5: Solve for x
    x = 25,732,706,538.34/73,982.11
  6. Step 6: Final answer
    x = 347,823.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.