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Finding the Third Proportional to 160,570 and 225,919

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Solution

The third proportional to 160,570 and 225,919 is: 317,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,570 : 225,919 = 225,919 : x
  2. Step 2: Convert to fraction form
    160,570/225,919 = 225,919/x
  3. Step 3: Cross multiply
    160,570x = 225,919 × 225,919
  4. Step 4: Simplify right side
    160,570x = 51,039,394,561
  5. Step 5: Solve for x
    x = 51,039,394,561/160,570
  6. Step 6: Final answer
    x = 317,863.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.