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Finding the Third Proportional to 169,181 and 367,510

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Solution

The third proportional to 169,181 and 367,510 is: 798,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,181 : 367,510 = 367,510 : x
  2. Step 2: Convert to fraction form
    169,181/367,510 = 367,510/x
  3. Step 3: Cross multiply
    169,181x = 367,510 × 367,510
  4. Step 4: Simplify right side
    169,181x = 135,063,600,100
  5. Step 5: Solve for x
    x = 135,063,600,100/169,181
  6. Step 6: Final answer
    x = 798,337.88

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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.