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Finding the Third Proportional to 96,315 and 232,029

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Solution

The third proportional to 96,315 and 232,029 is: 558,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,315 : 232,029 = 232,029 : x
  2. Step 2: Convert to fraction form
    96,315/232,029 = 232,029/x
  3. Step 3: Cross multiply
    96,315x = 232,029 × 232,029
  4. Step 4: Simplify right side
    96,315x = 53,837,456,841
  5. Step 5: Solve for x
    x = 53,837,456,841/96,315
  6. Step 6: Final answer
    x = 558,972.71

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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.