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Finding the Third Proportional to 144,540 and 227,034

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Solution

The third proportional to 144,540 and 227,034 is: 356,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,540 : 227,034 = 227,034 : x
  2. Step 2: Convert to fraction form
    144,540/227,034 = 227,034/x
  3. Step 3: Cross multiply
    144,540x = 227,034 × 227,034
  4. Step 4: Simplify right side
    144,540x = 51,544,437,156
  5. Step 5: Solve for x
    x = 51,544,437,156/144,540
  6. Step 6: Final answer
    x = 356,610.19

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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.