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Finding the Third Proportional to 80,424.25 and 176,711

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Solution

The third proportional to 80,424.25 and 176,711 is: 388,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424.25 : 176,711 = 176,711 : x
  2. Step 2: Convert to fraction form
    80,424.25/176,711 = 176,711/x
  3. Step 3: Cross multiply
    80,424.25x = 176,711 × 176,711
  4. Step 4: Simplify right side
    80,424.25x = 31,226,777,521
  5. Step 5: Solve for x
    x = 31,226,777,521/80,424.25
  6. Step 6: Final answer
    x = 388,275.64

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