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Finding the Third Proportional to 151,908 and 351,675

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Solution

The third proportional to 151,908 and 351,675 is: 814,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,908 : 351,675 = 351,675 : x
  2. Step 2: Convert to fraction form
    151,908/351,675 = 351,675/x
  3. Step 3: Cross multiply
    151,908x = 351,675 × 351,675
  4. Step 4: Simplify right side
    151,908x = 123,675,305,625
  5. Step 5: Solve for x
    x = 123,675,305,625/151,908
  6. Step 6: Final answer
    x = 814,146.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.