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Finding the Third Proportional to 154,315.75 and 315,781.88

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Solution

The third proportional to 154,315.75 and 315,781.88 is: 646,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,315.75 : 315,781.88 = 315,781.88 : x
  2. Step 2: Convert to fraction form
    154,315.75/315,781.88 = 315,781.88/x
  3. Step 3: Cross multiply
    154,315.75x = 315,781.88 × 315,781.88
  4. Step 4: Simplify right side
    154,315.75x = 99,718,192,578.52
  5. Step 5: Solve for x
    x = 99,718,192,578.52/154,315.75
  6. Step 6: Final answer
    x = 646,195.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.