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Finding the Third Proportional to 96,295 and 231,967

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Solution

The third proportional to 96,295 and 231,967 is: 558,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,295 : 231,967 = 231,967 : x
  2. Step 2: Convert to fraction form
    96,295/231,967 = 231,967/x
  3. Step 3: Cross multiply
    96,295x = 231,967 × 231,967
  4. Step 4: Simplify right side
    96,295x = 53,808,689,089
  5. Step 5: Solve for x
    x = 53,808,689,089/96,295
  6. Step 6: Final answer
    x = 558,790.06

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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.