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Finding the Third Proportional to 119,781 and 259,497

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Solution

The third proportional to 119,781 and 259,497 is: 562,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,781 : 259,497 = 259,497 : x
  2. Step 2: Convert to fraction form
    119,781/259,497 = 259,497/x
  3. Step 3: Cross multiply
    119,781x = 259,497 × 259,497
  4. Step 4: Simplify right side
    119,781x = 67,338,693,009
  5. Step 5: Solve for x
    x = 67,338,693,009/119,781
  6. Step 6: Final answer
    x = 562,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.