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Finding the Third Proportional to 80,432 and 170,584

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Solution

The third proportional to 80,432 and 170,584 is: 361,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,432 : 170,584 = 170,584 : x
  2. Step 2: Convert to fraction form
    80,432/170,584 = 170,584/x
  3. Step 3: Cross multiply
    80,432x = 170,584 × 170,584
  4. Step 4: Simplify right side
    80,432x = 29,098,901,056
  5. Step 5: Solve for x
    x = 29,098,901,056/80,432
  6. Step 6: Final answer
    x = 361,782.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.