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Finding the Third Proportional to 161,788 and 244,946

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Solution

The third proportional to 161,788 and 244,946 is: 370,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,788 : 244,946 = 244,946 : x
  2. Step 2: Convert to fraction form
    161,788/244,946 = 244,946/x
  3. Step 3: Cross multiply
    161,788x = 244,946 × 244,946
  4. Step 4: Simplify right side
    161,788x = 59,998,542,916
  5. Step 5: Solve for x
    x = 59,998,542,916/161,788
  6. Step 6: Final answer
    x = 370,846.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.