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Finding the Third Proportional to 159,660.75 and 239,514.75

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Solution

The third proportional to 159,660.75 and 239,514.75 is: 359,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,660.75 : 239,514.75 = 239,514.75 : x
  2. Step 2: Convert to fraction form
    159,660.75/239,514.75 = 239,514.75/x
  3. Step 3: Cross multiply
    159,660.75x = 239,514.75 × 239,514.75
  4. Step 4: Simplify right side
    159,660.75x = 57,367,315,467.56
  5. Step 5: Solve for x
    x = 57,367,315,467.56/159,660.75
  6. Step 6: Final answer
    x = 359,307.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.