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Finding the Third Proportional to 177,850 and 271,292

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Solution

The third proportional to 177,850 and 271,292 is: 413,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,850 : 271,292 = 271,292 : x
  2. Step 2: Convert to fraction form
    177,850/271,292 = 271,292/x
  3. Step 3: Cross multiply
    177,850x = 271,292 × 271,292
  4. Step 4: Simplify right side
    177,850x = 73,599,349,264
  5. Step 5: Solve for x
    x = 73,599,349,264/177,850
  6. Step 6: Final answer
    x = 413,828.22

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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.