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Finding the Third Proportional to 152,919.75 and 359,790

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Solution

The third proportional to 152,919.75 and 359,790 is: 846,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,919.75 : 359,790 = 359,790 : x
  2. Step 2: Convert to fraction form
    152,919.75/359,790 = 359,790/x
  3. Step 3: Cross multiply
    152,919.75x = 359,790 × 359,790
  4. Step 4: Simplify right side
    152,919.75x = 129,448,844,100
  5. Step 5: Solve for x
    x = 129,448,844,100/152,919.75
  6. Step 6: Final answer
    x = 846,514.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.