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Finding the Third Proportional to 152,014 and 351,876

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Solution

The third proportional to 152,014 and 351,876 is: 814,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,014 : 351,876 = 351,876 : x
  2. Step 2: Convert to fraction form
    152,014/351,876 = 351,876/x
  3. Step 3: Cross multiply
    152,014x = 351,876 × 351,876
  4. Step 4: Simplify right side
    152,014x = 123,816,719,376
  5. Step 5: Solve for x
    x = 123,816,719,376/152,014
  6. Step 6: Final answer
    x = 814,508.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.