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Finding the Third Proportional to 170,711 and 263,766

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Solution

The third proportional to 170,711 and 263,766 is: 407,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,711 : 263,766 = 263,766 : x
  2. Step 2: Convert to fraction form
    170,711/263,766 = 263,766/x
  3. Step 3: Cross multiply
    170,711x = 263,766 × 263,766
  4. Step 4: Simplify right side
    170,711x = 69,572,502,756
  5. Step 5: Solve for x
    x = 69,572,502,756/170,711
  6. Step 6: Final answer
    x = 407,545.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.