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Finding the Third Proportional to 143,508 and 312,850.50

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Solution

The third proportional to 143,508 and 312,850.50 is: 682,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,508 : 312,850.50 = 312,850.50 : x
  2. Step 2: Convert to fraction form
    143,508/312,850.50 = 312,850.50/x
  3. Step 3: Cross multiply
    143,508x = 312,850.50 × 312,850.50
  4. Step 4: Simplify right side
    143,508x = 97,875,435,350.25
  5. Step 5: Solve for x
    x = 97,875,435,350.25/143,508
  6. Step 6: Final answer
    x = 682,020.76

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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.