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Finding the Third Proportional to 177,848 and 271,287

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Solution

The third proportional to 177,848 and 271,287 is: 413,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,848 : 271,287 = 271,287 : x
  2. Step 2: Convert to fraction form
    177,848/271,287 = 271,287/x
  3. Step 3: Cross multiply
    177,848x = 271,287 × 271,287
  4. Step 4: Simplify right side
    177,848x = 73,596,636,369
  5. Step 5: Solve for x
    x = 73,596,636,369/177,848
  6. Step 6: Final answer
    x = 413,817.62

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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.