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Finding the Third Proportional to 105,570 and 227,790

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Solution

The third proportional to 105,570 and 227,790 is: 491,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570 : 227,790 = 227,790 : x
  2. Step 2: Convert to fraction form
    105,570/227,790 = 227,790/x
  3. Step 3: Cross multiply
    105,570x = 227,790 × 227,790
  4. Step 4: Simplify right side
    105,570x = 51,888,284,100
  5. Step 5: Solve for x
    x = 51,888,284,100/105,570
  6. Step 6: Final answer
    x = 491,505.96

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