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Finding the Third Proportional to 143,619.75 and 227,309.25

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Solution

The third proportional to 143,619.75 and 227,309.25 is: 359,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,619.75 : 227,309.25 = 227,309.25 : x
  2. Step 2: Convert to fraction form
    143,619.75/227,309.25 = 227,309.25/x
  3. Step 3: Cross multiply
    143,619.75x = 227,309.25 × 227,309.25
  4. Step 4: Simplify right side
    143,619.75x = 51,669,495,135.56
  5. Step 5: Solve for x
    x = 51,669,495,135.56/143,619.75
  6. Step 6: Final answer
    x = 359,765.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.