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Finding the Third Proportional to 177,067.13 and 379,377

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Solution

The third proportional to 177,067.13 and 379,377 is: 812,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,067.13 : 379,377 = 379,377 : x
  2. Step 2: Convert to fraction form
    177,067.13/379,377 = 379,377/x
  3. Step 3: Cross multiply
    177,067.13x = 379,377 × 379,377
  4. Step 4: Simplify right side
    177,067.13x = 143,926,908,129
  5. Step 5: Solve for x
    x = 143,926,908,129/177,067.13
  6. Step 6: Final answer
    x = 812,838.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.