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Finding the Third Proportional to 151,876 and 354,850

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Solution

The third proportional to 151,876 and 354,850 is: 829,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,876 : 354,850 = 354,850 : x
  2. Step 2: Convert to fraction form
    151,876/354,850 = 354,850/x
  3. Step 3: Cross multiply
    151,876x = 354,850 × 354,850
  4. Step 4: Simplify right side
    151,876x = 125,918,522,500
  5. Step 5: Solve for x
    x = 125,918,522,500/151,876
  6. Step 6: Final answer
    x = 829,087.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.