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Finding the Third Proportional to 84,934 and 188,275

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Solution

The third proportional to 84,934 and 188,275 is: 417,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,934 : 188,275 = 188,275 : x
  2. Step 2: Convert to fraction form
    84,934/188,275 = 188,275/x
  3. Step 3: Cross multiply
    84,934x = 188,275 × 188,275
  4. Step 4: Simplify right side
    84,934x = 35,447,475,625
  5. Step 5: Solve for x
    x = 35,447,475,625/84,934
  6. Step 6: Final answer
    x = 417,353.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.