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Finding the Third Proportional to 119,766 and 261,411

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Solution

The third proportional to 119,766 and 261,411 is: 570,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,766 : 261,411 = 261,411 : x
  2. Step 2: Convert to fraction form
    119,766/261,411 = 261,411/x
  3. Step 3: Cross multiply
    119,766x = 261,411 × 261,411
  4. Step 4: Simplify right side
    119,766x = 68,335,710,921
  5. Step 5: Solve for x
    x = 68,335,710,921/119,766
  6. Step 6: Final answer
    x = 570,576.88

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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.