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Finding the Third Proportional to 143,930.25 and 227,741.63

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Solution

The third proportional to 143,930.25 and 227,741.63 is: 360,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,930.25 : 227,741.63 = 227,741.63 : x
  2. Step 2: Convert to fraction form
    143,930.25/227,741.63 = 227,741.63/x
  3. Step 3: Cross multiply
    143,930.25x = 227,741.63 × 227,741.63
  4. Step 4: Simplify right side
    143,930.25x = 51,866,247,757.64
  5. Step 5: Solve for x
    x = 51,866,247,757.64/143,930.25
  6. Step 6: Final answer
    x = 360,356.82

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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.