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Finding the Third Proportional to 140,785.50 and 283,875

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Solution

The third proportional to 140,785.50 and 283,875 is: 572,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,785.50 : 283,875 = 283,875 : x
  2. Step 2: Convert to fraction form
    140,785.50/283,875 = 283,875/x
  3. Step 3: Cross multiply
    140,785.50x = 283,875 × 283,875
  4. Step 4: Simplify right side
    140,785.50x = 80,585,015,625
  5. Step 5: Solve for x
    x = 80,585,015,625/140,785.50
  6. Step 6: Final answer
    x = 572,395.71

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.