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Finding the Third Proportional to 74,484 and 156,626

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Solution

The third proportional to 74,484 and 156,626 is: 329,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484 : 156,626 = 156,626 : x
  2. Step 2: Convert to fraction form
    74,484/156,626 = 156,626/x
  3. Step 3: Cross multiply
    74,484x = 156,626 × 156,626
  4. Step 4: Simplify right side
    74,484x = 24,531,703,876
  5. Step 5: Solve for x
    x = 24,531,703,876/74,484
  6. Step 6: Final answer
    x = 329,355.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.