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Finding the Third Proportional to 168,622 and 225,548

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Solution

The third proportional to 168,622 and 225,548 is: 301,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,622 : 225,548 = 225,548 : x
  2. Step 2: Convert to fraction form
    168,622/225,548 = 225,548/x
  3. Step 3: Cross multiply
    168,622x = 225,548 × 225,548
  4. Step 4: Simplify right side
    168,622x = 50,871,900,304
  5. Step 5: Solve for x
    x = 50,871,900,304/168,622
  6. Step 6: Final answer
    x = 301,691.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.