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Finding the Third Proportional to 96,255 and 231,888

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Solution

The third proportional to 96,255 and 231,888 is: 558,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255 : 231,888 = 231,888 : x
  2. Step 2: Convert to fraction form
    96,255/231,888 = 231,888/x
  3. Step 3: Cross multiply
    96,255x = 231,888 × 231,888
  4. Step 4: Simplify right side
    96,255x = 53,772,044,544
  5. Step 5: Solve for x
    x = 53,772,044,544/96,255
  6. Step 6: Final answer
    x = 558,641.57

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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.