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Finding the Third Proportional to 151,888 and 351,626

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Solution

The third proportional to 151,888 and 351,626 is: 814,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,888 : 351,626 = 351,626 : x
  2. Step 2: Convert to fraction form
    151,888/351,626 = 351,626/x
  3. Step 3: Cross multiply
    151,888x = 351,626 × 351,626
  4. Step 4: Simplify right side
    151,888x = 123,640,843,876
  5. Step 5: Solve for x
    x = 123,640,843,876/151,888
  6. Step 6: Final answer
    x = 814,026.41

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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.