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Finding the Third Proportional to 175,000 and 271,496

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Solution

The third proportional to 175,000 and 271,496 is: 421,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,000 : 271,496 = 271,496 : x
  2. Step 2: Convert to fraction form
    175,000/271,496 = 271,496/x
  3. Step 3: Cross multiply
    175,000x = 271,496 × 271,496
  4. Step 4: Simplify right side
    175,000x = 73,710,078,016
  5. Step 5: Solve for x
    x = 73,710,078,016/175,000
  6. Step 6: Final answer
    x = 421,200.45

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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.