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Finding the Third Proportional to 74,482 and 170,165

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Solution

The third proportional to 74,482 and 170,165 is: 388,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,482 : 170,165 = 170,165 : x
  2. Step 2: Convert to fraction form
    74,482/170,165 = 170,165/x
  3. Step 3: Cross multiply
    74,482x = 170,165 × 170,165
  4. Step 4: Simplify right side
    74,482x = 28,956,127,225
  5. Step 5: Solve for x
    x = 28,956,127,225/74,482
  6. Step 6: Final answer
    x = 388,766.78

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.