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Finding the Third Proportional to 227,728 and 340,338

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Solution

The third proportional to 227,728 and 340,338 is: 508,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,728 : 340,338 = 340,338 : x
  2. Step 2: Convert to fraction form
    227,728/340,338 = 340,338/x
  3. Step 3: Cross multiply
    227,728x = 340,338 × 340,338
  4. Step 4: Simplify right side
    227,728x = 115,829,954,244
  5. Step 5: Solve for x
    x = 115,829,954,244/227,728
  6. Step 6: Final answer
    x = 508,632.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.