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Finding the Third Proportional to 85,943.25 and 188,478

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Solution

The third proportional to 85,943.25 and 188,478 is: 413,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,943.25 : 188,478 = 188,478 : x
  2. Step 2: Convert to fraction form
    85,943.25/188,478 = 188,478/x
  3. Step 3: Cross multiply
    85,943.25x = 188,478 × 188,478
  4. Step 4: Simplify right side
    85,943.25x = 35,523,956,484
  5. Step 5: Solve for x
    x = 35,523,956,484/85,943.25
  6. Step 6: Final answer
    x = 413,342.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.