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Finding the Third Proportional to 80,508 and 176,952

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Solution

The third proportional to 80,508 and 176,952 is: 388,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,508 : 176,952 = 176,952 : x
  2. Step 2: Convert to fraction form
    80,508/176,952 = 176,952/x
  3. Step 3: Cross multiply
    80,508x = 176,952 × 176,952
  4. Step 4: Simplify right side
    80,508x = 31,312,010,304
  5. Step 5: Solve for x
    x = 31,312,010,304/80,508
  6. Step 6: Final answer
    x = 388,930.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.