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Finding the Third Proportional to 171,998 and 260,592

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Solution

The third proportional to 171,998 and 260,592 is: 394,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,998 : 260,592 = 260,592 : x
  2. Step 2: Convert to fraction form
    171,998/260,592 = 260,592/x
  3. Step 3: Cross multiply
    171,998x = 260,592 × 260,592
  4. Step 4: Simplify right side
    171,998x = 67,908,190,464
  5. Step 5: Solve for x
    x = 67,908,190,464/171,998
  6. Step 6: Final answer
    x = 394,819.65

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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.