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Finding the Third Proportional to 169,060 and 261,632

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Solution

The third proportional to 169,060 and 261,632 is: 404,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,060 : 261,632 = 261,632 : x
  2. Step 2: Convert to fraction form
    169,060/261,632 = 261,632/x
  3. Step 3: Cross multiply
    169,060x = 261,632 × 261,632
  4. Step 4: Simplify right side
    169,060x = 68,451,303,424
  5. Step 5: Solve for x
    x = 68,451,303,424/169,060
  6. Step 6: Final answer
    x = 404,893.55

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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.