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Finding the Third Proportional to 175,016 and 381,709

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Solution

The third proportional to 175,016 and 381,709 is: 832,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,016 : 381,709 = 381,709 : x
  2. Step 2: Convert to fraction form
    175,016/381,709 = 381,709/x
  3. Step 3: Cross multiply
    175,016x = 381,709 × 381,709
  4. Step 4: Simplify right side
    175,016x = 145,701,760,681
  5. Step 5: Solve for x
    x = 145,701,760,681/175,016
  6. Step 6: Final answer
    x = 832,505.37

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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.