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Finding the Third Proportional to 119,910 and 260,976

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Solution

The third proportional to 119,910 and 260,976 is: 567,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,910 : 260,976 = 260,976 : x
  2. Step 2: Convert to fraction form
    119,910/260,976 = 260,976/x
  3. Step 3: Cross multiply
    119,910x = 260,976 × 260,976
  4. Step 4: Simplify right side
    119,910x = 68,108,472,576
  5. Step 5: Solve for x
    x = 68,108,472,576/119,910
  6. Step 6: Final answer
    x = 567,996.60

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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.