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Finding the Third Proportional to 179,972 and 387,592

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Solution

The third proportional to 179,972 and 387,592 is: 834,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,972 : 387,592 = 387,592 : x
  2. Step 2: Convert to fraction form
    179,972/387,592 = 387,592/x
  3. Step 3: Cross multiply
    179,972x = 387,592 × 387,592
  4. Step 4: Simplify right side
    179,972x = 150,227,558,464
  5. Step 5: Solve for x
    x = 150,227,558,464/179,972
  6. Step 6: Final answer
    x = 834,727.39

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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.