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Finding the Third Proportional to 156,950 and 386,996

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Solution

The third proportional to 156,950 and 386,996 is: 954,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 386,996 = 386,996 : x
  2. Step 2: Convert to fraction form
    156,950/386,996 = 386,996/x
  3. Step 3: Cross multiply
    156,950x = 386,996 × 386,996
  4. Step 4: Simplify right side
    156,950x = 149,765,904,016
  5. Step 5: Solve for x
    x = 149,765,904,016/156,950
  6. Step 6: Final answer
    x = 954,226.85

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.