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Finding the Third Proportional to 177,458 and 387,032

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Solution

The third proportional to 177,458 and 387,032 is: 844,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,458 : 387,032 = 387,032 : x
  2. Step 2: Convert to fraction form
    177,458/387,032 = 387,032/x
  3. Step 3: Cross multiply
    177,458x = 387,032 × 387,032
  4. Step 4: Simplify right side
    177,458x = 149,793,769,024
  5. Step 5: Solve for x
    x = 149,793,769,024/177,458
  6. Step 6: Final answer
    x = 844,108.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.