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Finding the Third Proportional to 156,921 and 386,927

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Solution

The third proportional to 156,921 and 386,927 is: 954,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,921 : 386,927 = 386,927 : x
  2. Step 2: Convert to fraction form
    156,921/386,927 = 386,927/x
  3. Step 3: Cross multiply
    156,921x = 386,927 × 386,927
  4. Step 4: Simplify right side
    156,921x = 149,712,503,329
  5. Step 5: Solve for x
    x = 149,712,503,329/156,921
  6. Step 6: Final answer
    x = 954,062.89

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