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Finding the Third Proportional to 113,238 and 231,396

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Solution

The third proportional to 113,238 and 231,396 is: 472,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,238 : 231,396 = 231,396 : x
  2. Step 2: Convert to fraction form
    113,238/231,396 = 231,396/x
  3. Step 3: Cross multiply
    113,238x = 231,396 × 231,396
  4. Step 4: Simplify right side
    113,238x = 53,544,108,816
  5. Step 5: Solve for x
    x = 53,544,108,816/113,238
  6. Step 6: Final answer
    x = 472,845.77

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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.