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Finding the Third Proportional to 119,586 and 260,192

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Solution

The third proportional to 119,586 and 260,192 is: 566,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,586 : 260,192 = 260,192 : x
  2. Step 2: Convert to fraction form
    119,586/260,192 = 260,192/x
  3. Step 3: Cross multiply
    119,586x = 260,192 × 260,192
  4. Step 4: Simplify right side
    119,586x = 67,699,876,864
  5. Step 5: Solve for x
    x = 67,699,876,864/119,586
  6. Step 6: Final answer
    x = 566,118.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.