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Finding the Third Proportional to 115,934 and 244,322

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Solution

The third proportional to 115,934 and 244,322 is: 514,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,934 : 244,322 = 244,322 : x
  2. Step 2: Convert to fraction form
    115,934/244,322 = 244,322/x
  3. Step 3: Cross multiply
    115,934x = 244,322 × 244,322
  4. Step 4: Simplify right side
    115,934x = 59,693,239,684
  5. Step 5: Solve for x
    x = 59,693,239,684/115,934
  6. Step 6: Final answer
    x = 514,889.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.