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Finding the Third Proportional to 156,938 and 223,567

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Solution

The third proportional to 156,938 and 223,567 is: 318,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 223,567 = 223,567 : x
  2. Step 2: Convert to fraction form
    156,938/223,567 = 223,567/x
  3. Step 3: Cross multiply
    156,938x = 223,567 × 223,567
  4. Step 4: Simplify right side
    156,938x = 49,982,203,489
  5. Step 5: Solve for x
    x = 49,982,203,489/156,938
  6. Step 6: Final answer
    x = 318,483.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.