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Finding the Third Proportional to 197,082.75 and 300,545.25

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Solution

The third proportional to 197,082.75 and 300,545.25 is: 458,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082.75 : 300,545.25 = 300,545.25 : x
  2. Step 2: Convert to fraction form
    197,082.75/300,545.25 = 300,545.25/x
  3. Step 3: Cross multiply
    197,082.75x = 300,545.25 × 300,545.25
  4. Step 4: Simplify right side
    197,082.75x = 90,327,447,297.56
  5. Step 5: Solve for x
    x = 90,327,447,297.56/197,082.75
  6. Step 6: Final answer
    x = 458,322.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.