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Finding the Third Proportional to 134,660 and 199,387

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Solution

The third proportional to 134,660 and 199,387 is: 295,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,660 : 199,387 = 199,387 : x
  2. Step 2: Convert to fraction form
    134,660/199,387 = 199,387/x
  3. Step 3: Cross multiply
    134,660x = 199,387 × 199,387
  4. Step 4: Simplify right side
    134,660x = 39,755,175,769
  5. Step 5: Solve for x
    x = 39,755,175,769/134,660
  6. Step 6: Final answer
    x = 295,226.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.