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Finding the Third Proportional to 195,839.25 and 264,233.25

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Solution

The third proportional to 195,839.25 and 264,233.25 is: 356,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,839.25 : 264,233.25 = 264,233.25 : x
  2. Step 2: Convert to fraction form
    195,839.25/264,233.25 = 264,233.25/x
  3. Step 3: Cross multiply
    195,839.25x = 264,233.25 × 264,233.25
  4. Step 4: Simplify right side
    195,839.25x = 69,819,210,405.56
  5. Step 5: Solve for x
    x = 69,819,210,405.56/195,839.25
  6. Step 6: Final answer
    x = 356,512.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.