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Finding the Third Proportional to 169,604 and 382,474

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Solution

The third proportional to 169,604 and 382,474 is: 862,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,604 : 382,474 = 382,474 : x
  2. Step 2: Convert to fraction form
    169,604/382,474 = 382,474/x
  3. Step 3: Cross multiply
    169,604x = 382,474 × 382,474
  4. Step 4: Simplify right side
    169,604x = 146,286,360,676
  5. Step 5: Solve for x
    x = 146,286,360,676/169,604
  6. Step 6: Final answer
    x = 862,517.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.