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Finding the Third Proportional to 96,258 and 231,896

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Solution

The third proportional to 96,258 and 231,896 is: 558,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,258 : 231,896 = 231,896 : x
  2. Step 2: Convert to fraction form
    96,258/231,896 = 231,896/x
  3. Step 3: Cross multiply
    96,258x = 231,896 × 231,896
  4. Step 4: Simplify right side
    96,258x = 53,775,754,816
  5. Step 5: Solve for x
    x = 53,775,754,816/96,258
  6. Step 6: Final answer
    x = 558,662.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.