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Finding the Third Proportional to 161,361 and 350,707

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Solution

The third proportional to 161,361 and 350,707 is: 762,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,361 : 350,707 = 350,707 : x
  2. Step 2: Convert to fraction form
    161,361/350,707 = 350,707/x
  3. Step 3: Cross multiply
    161,361x = 350,707 × 350,707
  4. Step 4: Simplify right side
    161,361x = 122,995,399,849
  5. Step 5: Solve for x
    x = 122,995,399,849/161,361
  6. Step 6: Final answer
    x = 762,237.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.