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Finding the Third Proportional to 143,506.69 and 312,847.88

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Solution

The third proportional to 143,506.69 and 312,847.88 is: 682,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,506.69 : 312,847.88 = 312,847.88 : x
  2. Step 2: Convert to fraction form
    143,506.69/312,847.88 = 312,847.88/x
  3. Step 3: Cross multiply
    143,506.69x = 312,847.88 × 312,847.88
  4. Step 4: Simplify right side
    143,506.69x = 97,873,792,892.02
  5. Step 5: Solve for x
    x = 97,873,792,892.02/143,506.69
  6. Step 6: Final answer
    x = 682,015.55

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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.