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Finding the Third Proportional to 82,626 and 177,246

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Solution

The third proportional to 82,626 and 177,246 is: 380,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626 : 177,246 = 177,246 : x
  2. Step 2: Convert to fraction form
    82,626/177,246 = 177,246/x
  3. Step 3: Cross multiply
    82,626x = 177,246 × 177,246
  4. Step 4: Simplify right side
    82,626x = 31,416,144,516
  5. Step 5: Solve for x
    x = 31,416,144,516/82,626
  6. Step 6: Final answer
    x = 380,221.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.