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Finding the Third Proportional to 143,515.50 and 312,864

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Solution

The third proportional to 143,515.50 and 312,864 is: 682,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,515.50 : 312,864 = 312,864 : x
  2. Step 2: Convert to fraction form
    143,515.50/312,864 = 312,864/x
  3. Step 3: Cross multiply
    143,515.50x = 312,864 × 312,864
  4. Step 4: Simplify right side
    143,515.50x = 97,883,882,496
  5. Step 5: Solve for x
    x = 97,883,882,496/143,515.50
  6. Step 6: Final answer
    x = 682,043.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.