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Finding the Third Proportional to 138,453.75 and 326,652.75

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Solution

The third proportional to 138,453.75 and 326,652.75 is: 770,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453.75 : 326,652.75 = 326,652.75 : x
  2. Step 2: Convert to fraction form
    138,453.75/326,652.75 = 326,652.75/x
  3. Step 3: Cross multiply
    138,453.75x = 326,652.75 × 326,652.75
  4. Step 4: Simplify right side
    138,453.75x = 106,702,019,082.56
  5. Step 5: Solve for x
    x = 106,702,019,082.56/138,453.75
  6. Step 6: Final answer
    x = 770,669.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.