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Finding the Third Proportional to 115,024 and 234,743

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Solution

The third proportional to 115,024 and 234,743 is: 479,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,024 : 234,743 = 234,743 : x
  2. Step 2: Convert to fraction form
    115,024/234,743 = 234,743/x
  3. Step 3: Cross multiply
    115,024x = 234,743 × 234,743
  4. Step 4: Simplify right side
    115,024x = 55,104,276,049
  5. Step 5: Solve for x
    x = 55,104,276,049/115,024
  6. Step 6: Final answer
    x = 479,067.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.