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Finding the Third Proportional to 80,352 and 174,084.19

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Solution

The third proportional to 80,352 and 174,084.19 is: 377,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,352 : 174,084.19 = 174,084.19 : x
  2. Step 2: Convert to fraction form
    80,352/174,084.19 = 174,084.19/x
  3. Step 3: Cross multiply
    80,352x = 174,084.19 × 174,084.19
  4. Step 4: Simplify right side
    80,352x = 30,305,304,337.54
  5. Step 5: Solve for x
    x = 30,305,304,337.54/80,352
  6. Step 6: Final answer
    x = 377,156.81

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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.