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Finding the Third Proportional to 119,234 and 261,976

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Solution

The third proportional to 119,234 and 261,976 is: 575,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,234 : 261,976 = 261,976 : x
  2. Step 2: Convert to fraction form
    119,234/261,976 = 261,976/x
  3. Step 3: Cross multiply
    119,234x = 261,976 × 261,976
  4. Step 4: Simplify right side
    119,234x = 68,631,424,576
  5. Step 5: Solve for x
    x = 68,631,424,576/119,234
  6. Step 6: Final answer
    x = 575,602.80

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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.