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Finding the Third Proportional to 182,193.75 and 400,257.38

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Solution

The third proportional to 182,193.75 and 400,257.38 is: 879,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,193.75 : 400,257.38 = 400,257.38 : x
  2. Step 2: Convert to fraction form
    182,193.75/400,257.38 = 400,257.38/x
  3. Step 3: Cross multiply
    182,193.75x = 400,257.38 × 400,257.38
  4. Step 4: Simplify right side
    182,193.75x = 160,205,966,241.89
  5. Step 5: Solve for x
    x = 160,205,966,241.89/182,193.75
  6. Step 6: Final answer
    x = 879,316.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.