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Finding the Third Proportional to 156,962 and 223,603

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Solution

The third proportional to 156,962 and 223,603 is: 318,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 223,603 = 223,603 : x
  2. Step 2: Convert to fraction form
    156,962/223,603 = 223,603/x
  3. Step 3: Cross multiply
    156,962x = 223,603 × 223,603
  4. Step 4: Simplify right side
    156,962x = 49,998,301,609
  5. Step 5: Solve for x
    x = 49,998,301,609/156,962
  6. Step 6: Final answer
    x = 318,537.62

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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.