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Finding the Third Proportional to 169,118 and 364,398

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Solution

The third proportional to 169,118 and 364,398 is: 785,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,118 : 364,398 = 364,398 : x
  2. Step 2: Convert to fraction form
    169,118/364,398 = 364,398/x
  3. Step 3: Cross multiply
    169,118x = 364,398 × 364,398
  4. Step 4: Simplify right side
    169,118x = 132,785,902,404
  5. Step 5: Solve for x
    x = 132,785,902,404/169,118
  6. Step 6: Final answer
    x = 785,167.18

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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.