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Finding the Third Proportional to 156,933 and 386,957

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Solution

The third proportional to 156,933 and 386,957 is: 954,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,933 : 386,957 = 386,957 : x
  2. Step 2: Convert to fraction form
    156,933/386,957 = 386,957/x
  3. Step 3: Cross multiply
    156,933x = 386,957 × 386,957
  4. Step 4: Simplify right side
    156,933x = 149,735,719,849
  5. Step 5: Solve for x
    x = 149,735,719,849/156,933
  6. Step 6: Final answer
    x = 954,137.88

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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.