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Finding the Third Proportional to 232,767 and 355,923

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Solution

The third proportional to 232,767 and 355,923 is: 544,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,767 : 355,923 = 355,923 : x
  2. Step 2: Convert to fraction form
    232,767/355,923 = 355,923/x
  3. Step 3: Cross multiply
    232,767x = 355,923 × 355,923
  4. Step 4: Simplify right side
    232,767x = 126,681,181,929
  5. Step 5: Solve for x
    x = 126,681,181,929/232,767
  6. Step 6: Final answer
    x = 544,240.30

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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.