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Finding the Third Proportional to 115,884 and 244,221.75

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Solution

The third proportional to 115,884 and 244,221.75 is: 514,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 244,221.75 = 244,221.75 : x
  2. Step 2: Convert to fraction form
    115,884/244,221.75 = 244,221.75/x
  3. Step 3: Cross multiply
    115,884x = 244,221.75 × 244,221.75
  4. Step 4: Simplify right side
    115,884x = 59,644,263,173.06
  5. Step 5: Solve for x
    x = 59,644,263,173.06/115,884
  6. Step 6: Final answer
    x = 514,689.37

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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.