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Finding the Third Proportional to 175,051 and 381,782

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Solution

The third proportional to 175,051 and 381,782 is: 832,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,051 : 381,782 = 381,782 : x
  2. Step 2: Convert to fraction form
    175,051/381,782 = 381,782/x
  3. Step 3: Cross multiply
    175,051x = 381,782 × 381,782
  4. Step 4: Simplify right side
    175,051x = 145,757,495,524
  5. Step 5: Solve for x
    x = 145,757,495,524/175,051
  6. Step 6: Final answer
    x = 832,657.31

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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.