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Finding the Third Proportional to 104,514 and 225,548

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Solution

The third proportional to 104,514 and 225,548 is: 486,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,514 : 225,548 = 225,548 : x
  2. Step 2: Convert to fraction form
    104,514/225,548 = 225,548/x
  3. Step 3: Cross multiply
    104,514x = 225,548 × 225,548
  4. Step 4: Simplify right side
    104,514x = 50,871,900,304
  5. Step 5: Solve for x
    x = 50,871,900,304/104,514
  6. Step 6: Final answer
    x = 486,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.