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Finding the Third Proportional to 156,924 and 223,626

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Solution

The third proportional to 156,924 and 223,626 is: 318,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,924 : 223,626 = 223,626 : x
  2. Step 2: Convert to fraction form
    156,924/223,626 = 223,626/x
  3. Step 3: Cross multiply
    156,924x = 223,626 × 223,626
  4. Step 4: Simplify right side
    156,924x = 50,008,587,876
  5. Step 5: Solve for x
    x = 50,008,587,876/156,924
  6. Step 6: Final answer
    x = 318,680.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.