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Finding the Third Proportional to 191,412 and 281,187

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Solution

The third proportional to 191,412 and 281,187 is: 413,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,412 : 281,187 = 281,187 : x
  2. Step 2: Convert to fraction form
    191,412/281,187 = 281,187/x
  3. Step 3: Cross multiply
    191,412x = 281,187 × 281,187
  4. Step 4: Simplify right side
    191,412x = 79,066,128,969
  5. Step 5: Solve for x
    x = 79,066,128,969/191,412
  6. Step 6: Final answer
    x = 413,067.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.