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Finding the Third Proportional to 83,566 and 176,438

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Solution

The third proportional to 83,566 and 176,438 is: 372,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,566 : 176,438 = 176,438 : x
  2. Step 2: Convert to fraction form
    83,566/176,438 = 176,438/x
  3. Step 3: Cross multiply
    83,566x = 176,438 × 176,438
  4. Step 4: Simplify right side
    83,566x = 31,130,367,844
  5. Step 5: Solve for x
    x = 31,130,367,844/83,566
  6. Step 6: Final answer
    x = 372,524.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.