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Finding the Third Proportional to 129,525.75 and 305,322.75

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Solution

The third proportional to 129,525.75 and 305,322.75 is: 719,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,525.75 : 305,322.75 = 305,322.75 : x
  2. Step 2: Convert to fraction form
    129,525.75/305,322.75 = 305,322.75/x
  3. Step 3: Cross multiply
    129,525.75x = 305,322.75 × 305,322.75
  4. Step 4: Simplify right side
    129,525.75x = 93,221,981,667.56
  5. Step 5: Solve for x
    x = 93,221,981,667.56/129,525.75
  6. Step 6: Final answer
    x = 719,717.75

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