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Finding the Third Proportional to 193,275 and 415,131

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Solution

The third proportional to 193,275 and 415,131 is: 891,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,275 : 415,131 = 415,131 : x
  2. Step 2: Convert to fraction form
    193,275/415,131 = 415,131/x
  3. Step 3: Cross multiply
    193,275x = 415,131 × 415,131
  4. Step 4: Simplify right side
    193,275x = 172,333,747,161
  5. Step 5: Solve for x
    x = 172,333,747,161/193,275
  6. Step 6: Final answer
    x = 891,650.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.