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Finding the Third Proportional to 157,648 and 231,864

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Solution

The third proportional to 157,648 and 231,864 is: 341,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648 : 231,864 = 231,864 : x
  2. Step 2: Convert to fraction form
    157,648/231,864 = 231,864/x
  3. Step 3: Cross multiply
    157,648x = 231,864 × 231,864
  4. Step 4: Simplify right side
    157,648x = 53,760,914,496
  5. Step 5: Solve for x
    x = 53,760,914,496/157,648
  6. Step 6: Final answer
    x = 341,018.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.