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Finding the Third Proportional to 232,986 and 353,805

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Solution

The third proportional to 232,986 and 353,805 is: 537,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,986 : 353,805 = 353,805 : x
  2. Step 2: Convert to fraction form
    232,986/353,805 = 353,805/x
  3. Step 3: Cross multiply
    232,986x = 353,805 × 353,805
  4. Step 4: Simplify right side
    232,986x = 125,177,978,025
  5. Step 5: Solve for x
    x = 125,177,978,025/232,986
  6. Step 6: Final answer
    x = 537,276.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.