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Finding the Third Proportional to 175,017 and 381,711

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Solution

The third proportional to 175,017 and 381,711 is: 832,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,017 : 381,711 = 381,711 : x
  2. Step 2: Convert to fraction form
    175,017/381,711 = 381,711/x
  3. Step 3: Cross multiply
    175,017x = 381,711 × 381,711
  4. Step 4: Simplify right side
    175,017x = 145,703,287,521
  5. Step 5: Solve for x
    x = 145,703,287,521/175,017
  6. Step 6: Final answer
    x = 832,509.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.