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Finding the Third Proportional to 74,367 and 163,496

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Solution

The third proportional to 74,367 and 163,496 is: 359,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,367 : 163,496 = 163,496 : x
  2. Step 2: Convert to fraction form
    74,367/163,496 = 163,496/x
  3. Step 3: Cross multiply
    74,367x = 163,496 × 163,496
  4. Step 4: Simplify right side
    74,367x = 26,730,942,016
  5. Step 5: Solve for x
    x = 26,730,942,016/74,367
  6. Step 6: Final answer
    x = 359,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.