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Finding the Third Proportional to 187,191 and 254,016

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Solution

The third proportional to 187,191 and 254,016 is: 344,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,191 : 254,016 = 254,016 : x
  2. Step 2: Convert to fraction form
    187,191/254,016 = 254,016/x
  3. Step 3: Cross multiply
    187,191x = 254,016 × 254,016
  4. Step 4: Simplify right side
    187,191x = 64,524,128,256
  5. Step 5: Solve for x
    x = 64,524,128,256/187,191
  6. Step 6: Final answer
    x = 344,696.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.