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Finding the Third Proportional to 105,173 and 227,302

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Solution

The third proportional to 105,173 and 227,302 is: 491,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,173 : 227,302 = 227,302 : x
  2. Step 2: Convert to fraction form
    105,173/227,302 = 227,302/x
  3. Step 3: Cross multiply
    105,173x = 227,302 × 227,302
  4. Step 4: Simplify right side
    105,173x = 51,666,199,204
  5. Step 5: Solve for x
    x = 51,666,199,204/105,173
  6. Step 6: Final answer
    x = 491,249.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.