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Finding the Third Proportional to 175,475 and 271,461

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Solution

The third proportional to 175,475 and 271,461 is: 419,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,475 : 271,461 = 271,461 : x
  2. Step 2: Convert to fraction form
    175,475/271,461 = 271,461/x
  3. Step 3: Cross multiply
    175,475x = 271,461 × 271,461
  4. Step 4: Simplify right side
    175,475x = 73,691,074,521
  5. Step 5: Solve for x
    x = 73,691,074,521/175,475
  6. Step 6: Final answer
    x = 419,951.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.