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Finding the Third Proportional to 178,050 and 271,566

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Solution

The third proportional to 178,050 and 271,566 is: 414,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,050 : 271,566 = 271,566 : x
  2. Step 2: Convert to fraction form
    178,050/271,566 = 271,566/x
  3. Step 3: Cross multiply
    178,050x = 271,566 × 271,566
  4. Step 4: Simplify right side
    178,050x = 73,748,092,356
  5. Step 5: Solve for x
    x = 73,748,092,356/178,050
  6. Step 6: Final answer
    x = 414,198.78

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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.