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Finding the Third Proportional to 232,768.69 and 355,924.13

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Solution

The third proportional to 232,768.69 and 355,924.13 is: 544,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,768.69 : 355,924.13 = 355,924.13 : x
  2. Step 2: Convert to fraction form
    232,768.69/355,924.13 = 355,924.13/x
  3. Step 3: Cross multiply
    232,768.69x = 355,924.13 × 355,924.13
  4. Step 4: Simplify right side
    232,768.69x = 126,681,982,757.02
  5. Step 5: Solve for x
    x = 126,681,982,757.02/232,768.69
  6. Step 6: Final answer
    x = 544,239.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.