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Finding the Third Proportional to 115,704 and 234,627

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Solution

The third proportional to 115,704 and 234,627 is: 475,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,704 : 234,627 = 234,627 : x
  2. Step 2: Convert to fraction form
    115,704/234,627 = 234,627/x
  3. Step 3: Cross multiply
    115,704x = 234,627 × 234,627
  4. Step 4: Simplify right side
    115,704x = 55,049,829,129
  5. Step 5: Solve for x
    x = 55,049,829,129/115,704
  6. Step 6: Final answer
    x = 475,781.56

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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.