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Finding the Third Proportional to 171,982 and 260,570

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Solution

The third proportional to 171,982 and 260,570 is: 394,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,982 : 260,570 = 260,570 : x
  2. Step 2: Convert to fraction form
    171,982/260,570 = 260,570/x
  3. Step 3: Cross multiply
    171,982x = 260,570 × 260,570
  4. Step 4: Simplify right side
    171,982x = 67,896,724,900
  5. Step 5: Solve for x
    x = 67,896,724,900/171,982
  6. Step 6: Final answer
    x = 394,789.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.