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Finding the Third Proportional to 107,831 and 232,510

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Solution

The third proportional to 107,831 and 232,510 is: 501,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,831 : 232,510 = 232,510 : x
  2. Step 2: Convert to fraction form
    107,831/232,510 = 232,510/x
  3. Step 3: Cross multiply
    107,831x = 232,510 × 232,510
  4. Step 4: Simplify right side
    107,831x = 54,060,900,100
  5. Step 5: Solve for x
    x = 54,060,900,100/107,831
  6. Step 6: Final answer
    x = 501,348.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.