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Finding the Third Proportional to 181,753 and 399,602

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Solution

The third proportional to 181,753 and 399,602 is: 878,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,753 : 399,602 = 399,602 : x
  2. Step 2: Convert to fraction form
    181,753/399,602 = 399,602/x
  3. Step 3: Cross multiply
    181,753x = 399,602 × 399,602
  4. Step 4: Simplify right side
    181,753x = 159,681,758,404
  5. Step 5: Solve for x
    x = 159,681,758,404/181,753
  6. Step 6: Final answer
    x = 878,564.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.