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Finding the Third Proportional to 115,708 and 234,632

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Solution

The third proportional to 115,708 and 234,632 is: 475,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,708 : 234,632 = 234,632 : x
  2. Step 2: Convert to fraction form
    115,708/234,632 = 234,632/x
  3. Step 3: Cross multiply
    115,708x = 234,632 × 234,632
  4. Step 4: Simplify right side
    115,708x = 55,052,175,424
  5. Step 5: Solve for x
    x = 55,052,175,424/115,708
  6. Step 6: Final answer
    x = 475,785.39

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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.