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Finding the Third Proportional to 175,147 and 270,921

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Solution

The third proportional to 175,147 and 270,921 is: 419,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,147 : 270,921 = 270,921 : x
  2. Step 2: Convert to fraction form
    175,147/270,921 = 270,921/x
  3. Step 3: Cross multiply
    175,147x = 270,921 × 270,921
  4. Step 4: Simplify right side
    175,147x = 73,398,188,241
  5. Step 5: Solve for x
    x = 73,398,188,241/175,147
  6. Step 6: Final answer
    x = 419,066.20

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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.