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Finding the Third Proportional to 250,998.75 and 351,074.25

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Solution

The third proportional to 250,998.75 and 351,074.25 is: 491,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,998.75 : 351,074.25 = 351,074.25 : x
  2. Step 2: Convert to fraction form
    250,998.75/351,074.25 = 351,074.25/x
  3. Step 3: Cross multiply
    250,998.75x = 351,074.25 × 351,074.25
  4. Step 4: Simplify right side
    250,998.75x = 123,253,129,013.06
  5. Step 5: Solve for x
    x = 123,253,129,013.06/250,998.75
  6. Step 6: Final answer
    x = 491,050.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.