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Finding the Third Proportional to 119,976 and 263,464

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Solution

The third proportional to 119,976 and 263,464 is: 578,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 263,464 = 263,464 : x
  2. Step 2: Convert to fraction form
    119,976/263,464 = 263,464/x
  3. Step 3: Cross multiply
    119,976x = 263,464 × 263,464
  4. Step 4: Simplify right side
    119,976x = 69,413,279,296
  5. Step 5: Solve for x
    x = 69,413,279,296/119,976
  6. Step 6: Final answer
    x = 578,559.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.