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Finding the Third Proportional to 232,261.50 and 339,434.25

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Solution

The third proportional to 232,261.50 and 339,434.25 is: 496,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,261.50 : 339,434.25 = 339,434.25 : x
  2. Step 2: Convert to fraction form
    232,261.50/339,434.25 = 339,434.25/x
  3. Step 3: Cross multiply
    232,261.50x = 339,434.25 × 339,434.25
  4. Step 4: Simplify right side
    232,261.50x = 115,215,610,073.06
  5. Step 5: Solve for x
    x = 115,215,610,073.06/232,261.50
  6. Step 6: Final answer
    x = 496,059.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.