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Finding the Third Proportional to 196,921.13 and 474,761.25

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Solution

The third proportional to 196,921.13 and 474,761.25 is: 1,144,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,921.13 : 474,761.25 = 474,761.25 : x
  2. Step 2: Convert to fraction form
    196,921.13/474,761.25 = 474,761.25/x
  3. Step 3: Cross multiply
    196,921.13x = 474,761.25 × 474,761.25
  4. Step 4: Simplify right side
    196,921.13x = 225,398,244,501.56
  5. Step 5: Solve for x
    x = 225,398,244,501.56/196,921.13
  6. Step 6: Final answer
    x = 1,144,611.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.