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Finding the Third Proportional to 177,471.38 and 385,044.38

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Solution

The third proportional to 177,471.38 and 385,044.38 is: 835,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,471.38 : 385,044.38 = 385,044.38 : x
  2. Step 2: Convert to fraction form
    177,471.38/385,044.38 = 385,044.38/x
  3. Step 3: Cross multiply
    177,471.38x = 385,044.38 × 385,044.38
  4. Step 4: Simplify right side
    177,471.38x = 148,259,170,719.14
  5. Step 5: Solve for x
    x = 148,259,170,719.14/177,471.38
  6. Step 6: Final answer
    x = 835,397.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.