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Finding the Third Proportional to 167,414 and 252,630

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Solution

The third proportional to 167,414 and 252,630 is: 381,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,414 : 252,630 = 252,630 : x
  2. Step 2: Convert to fraction form
    167,414/252,630 = 252,630/x
  3. Step 3: Cross multiply
    167,414x = 252,630 × 252,630
  4. Step 4: Simplify right side
    167,414x = 63,821,916,900
  5. Step 5: Solve for x
    x = 63,821,916,900/167,414
  6. Step 6: Final answer
    x = 381,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.