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Finding the Third Proportional to 177,341 and 389,134

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Solution

The third proportional to 177,341 and 389,134 is: 853,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,341 : 389,134 = 389,134 : x
  2. Step 2: Convert to fraction form
    177,341/389,134 = 389,134/x
  3. Step 3: Cross multiply
    177,341x = 389,134 × 389,134
  4. Step 4: Simplify right side
    177,341x = 151,425,269,956
  5. Step 5: Solve for x
    x = 151,425,269,956/177,341
  6. Step 6: Final answer
    x = 853,864.98

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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.