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Finding the Third Proportional to 147,061 and 227,198

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Solution

The third proportional to 147,061 and 227,198 is: 351,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,061 : 227,198 = 227,198 : x
  2. Step 2: Convert to fraction form
    147,061/227,198 = 227,198/x
  3. Step 3: Cross multiply
    147,061x = 227,198 × 227,198
  4. Step 4: Simplify right side
    147,061x = 51,618,931,204
  5. Step 5: Solve for x
    x = 51,618,931,204/147,061
  6. Step 6: Final answer
    x = 351,003.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.