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Finding the Third Proportional to 232,669.13 and 339,766.88

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Solution

The third proportional to 232,669.13 and 339,766.88 is: 496,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,669.13 : 339,766.88 = 339,766.88 : x
  2. Step 2: Convert to fraction form
    232,669.13/339,766.88 = 339,766.88/x
  3. Step 3: Cross multiply
    232,669.13x = 339,766.88 × 339,766.88
  4. Step 4: Simplify right side
    232,669.13x = 115,441,529,347.27
  5. Step 5: Solve for x
    x = 115,441,529,347.27/232,669.13
  6. Step 6: Final answer
    x = 496,161.79

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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.