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Finding the Third Proportional to 80,626 and 175,246

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Solution

The third proportional to 80,626 and 175,246 is: 380,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,626 : 175,246 = 175,246 : x
  2. Step 2: Convert to fraction form
    80,626/175,246 = 175,246/x
  3. Step 3: Cross multiply
    80,626x = 175,246 × 175,246
  4. Step 4: Simplify right side
    80,626x = 30,711,160,516
  5. Step 5: Solve for x
    x = 30,711,160,516/80,626
  6. Step 6: Final answer
    x = 380,908.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.