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Finding the Third Proportional to 177,337 and 389,127

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Solution

The third proportional to 177,337 and 389,127 is: 853,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,337 : 389,127 = 389,127 : x
  2. Step 2: Convert to fraction form
    177,337/389,127 = 389,127/x
  3. Step 3: Cross multiply
    177,337x = 389,127 × 389,127
  4. Step 4: Simplify right side
    177,337x = 151,419,822,129
  5. Step 5: Solve for x
    x = 151,419,822,129/177,337
  6. Step 6: Final answer
    x = 853,853.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.