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Finding the Third Proportional to 175,632 and 381,072

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Solution

The third proportional to 175,632 and 381,072 is: 826,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,632 : 381,072 = 381,072 : x
  2. Step 2: Convert to fraction form
    175,632/381,072 = 381,072/x
  3. Step 3: Cross multiply
    175,632x = 381,072 × 381,072
  4. Step 4: Simplify right side
    175,632x = 145,215,869,184
  5. Step 5: Solve for x
    x = 145,215,869,184/175,632
  6. Step 6: Final answer
    x = 826,818.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.