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Finding the Third Proportional to 144,530 and 227,023

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Solution

The third proportional to 144,530 and 227,023 is: 356,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,530 : 227,023 = 227,023 : x
  2. Step 2: Convert to fraction form
    144,530/227,023 = 227,023/x
  3. Step 3: Cross multiply
    144,530x = 227,023 × 227,023
  4. Step 4: Simplify right side
    144,530x = 51,539,442,529
  5. Step 5: Solve for x
    x = 51,539,442,529/144,530
  6. Step 6: Final answer
    x = 356,600.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.