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Finding the Third Proportional to 220,568 and 350,548

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Solution

The third proportional to 220,568 and 350,548 is: 557,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,568 : 350,548 = 350,548 : x
  2. Step 2: Convert to fraction form
    220,568/350,548 = 350,548/x
  3. Step 3: Cross multiply
    220,568x = 350,548 × 350,548
  4. Step 4: Simplify right side
    220,568x = 122,883,900,304
  5. Step 5: Solve for x
    x = 122,883,900,304/220,568
  6. Step 6: Final answer
    x = 557,124.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.