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Finding the Third Proportional to 151,886 and 351,624

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Solution

The third proportional to 151,886 and 351,624 is: 814,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,886 : 351,624 = 351,624 : x
  2. Step 2: Convert to fraction form
    151,886/351,624 = 351,624/x
  3. Step 3: Cross multiply
    151,886x = 351,624 × 351,624
  4. Step 4: Simplify right side
    151,886x = 123,639,437,376
  5. Step 5: Solve for x
    x = 123,639,437,376/151,886
  6. Step 6: Final answer
    x = 814,027.87

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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.