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Finding the Third Proportional to 156,538 and 209,712

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Solution

The third proportional to 156,538 and 209,712 is: 280,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,538 : 209,712 = 209,712 : x
  2. Step 2: Convert to fraction form
    156,538/209,712 = 209,712/x
  3. Step 3: Cross multiply
    156,538x = 209,712 × 209,712
  4. Step 4: Simplify right side
    156,538x = 43,979,122,944
  5. Step 5: Solve for x
    x = 43,979,122,944/156,538
  6. Step 6: Final answer
    x = 280,948.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.