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Finding the Third Proportional to 115,749 and 234,717.75

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Solution

The third proportional to 115,749 and 234,717.75 is: 475,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,749 : 234,717.75 = 234,717.75 : x
  2. Step 2: Convert to fraction form
    115,749/234,717.75 = 234,717.75/x
  3. Step 3: Cross multiply
    115,749x = 234,717.75 × 234,717.75
  4. Step 4: Simplify right side
    115,749x = 55,092,422,165.06
  5. Step 5: Solve for x
    x = 55,092,422,165.06/115,749
  6. Step 6: Final answer
    x = 475,964.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.