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Finding the Third Proportional to 177,856 and 271,301

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Solution

The third proportional to 177,856 and 271,301 is: 413,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856 : 271,301 = 271,301 : x
  2. Step 2: Convert to fraction form
    177,856/271,301 = 271,301/x
  3. Step 3: Cross multiply
    177,856x = 271,301 × 271,301
  4. Step 4: Simplify right side
    177,856x = 73,604,232,601
  5. Step 5: Solve for x
    x = 73,604,232,601/177,856
  6. Step 6: Final answer
    x = 413,841.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.