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Finding the Third Proportional to 119,788 and 261,996

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Solution

The third proportional to 119,788 and 261,996 is: 573,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,788 : 261,996 = 261,996 : x
  2. Step 2: Convert to fraction form
    119,788/261,996 = 261,996/x
  3. Step 3: Cross multiply
    119,788x = 261,996 × 261,996
  4. Step 4: Simplify right side
    119,788x = 68,641,904,016
  5. Step 5: Solve for x
    x = 68,641,904,016/119,788
  6. Step 6: Final answer
    x = 573,028.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.