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Finding the Third Proportional to 143,506.50 and 312,847.50

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Solution

The third proportional to 143,506.50 and 312,847.50 is: 682,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,506.50 : 312,847.50 = 312,847.50 : x
  2. Step 2: Convert to fraction form
    143,506.50/312,847.50 = 312,847.50/x
  3. Step 3: Cross multiply
    143,506.50x = 312,847.50 × 312,847.50
  4. Step 4: Simplify right side
    143,506.50x = 97,873,558,256.25
  5. Step 5: Solve for x
    x = 97,873,558,256.25/143,506.50
  6. Step 6: Final answer
    x = 682,014.81

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Why These Related Problems?

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