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Finding the Third Proportional to 80,427 and 170,574

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Solution

The third proportional to 80,427 and 170,574 is: 361,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,427 : 170,574 = 170,574 : x
  2. Step 2: Convert to fraction form
    80,427/170,574 = 170,574/x
  3. Step 3: Cross multiply
    80,427x = 170,574 × 170,574
  4. Step 4: Simplify right side
    80,427x = 29,095,489,476
  5. Step 5: Solve for x
    x = 29,095,489,476/80,427
  6. Step 6: Final answer
    x = 361,762.71

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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.