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Finding the Third Proportional to 144,529 and 227,022

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Solution

The third proportional to 144,529 and 227,022 is: 356,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,529 : 227,022 = 227,022 : x
  2. Step 2: Convert to fraction form
    144,529/227,022 = 227,022/x
  3. Step 3: Cross multiply
    144,529x = 227,022 × 227,022
  4. Step 4: Simplify right side
    144,529x = 51,538,988,484
  5. Step 5: Solve for x
    x = 51,538,988,484/144,529
  6. Step 6: Final answer
    x = 356,599.63

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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.