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Finding the Third Proportional to 227,179 and 356,406

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Solution

The third proportional to 227,179 and 356,406 is: 559,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,179 : 356,406 = 356,406 : x
  2. Step 2: Convert to fraction form
    227,179/356,406 = 356,406/x
  3. Step 3: Cross multiply
    227,179x = 356,406 × 356,406
  4. Step 4: Simplify right side
    227,179x = 127,025,236,836
  5. Step 5: Solve for x
    x = 127,025,236,836/227,179
  6. Step 6: Final answer
    x = 559,141.63

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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.