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Finding the Third Proportional to 227,202 and 356,439

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Solution

The third proportional to 227,202 and 356,439 is: 559,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,202 : 356,439 = 356,439 : x
  2. Step 2: Convert to fraction form
    227,202/356,439 = 356,439/x
  3. Step 3: Cross multiply
    227,202x = 356,439 × 356,439
  4. Step 4: Simplify right side
    227,202x = 127,048,760,721
  5. Step 5: Solve for x
    x = 127,048,760,721/227,202
  6. Step 6: Final answer
    x = 559,188.57

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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.