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Finding the Third Proportional to 228,974 and 336,839

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Solution

The third proportional to 228,974 and 336,839 is: 495,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,974 : 336,839 = 336,839 : x
  2. Step 2: Convert to fraction form
    228,974/336,839 = 336,839/x
  3. Step 3: Cross multiply
    228,974x = 336,839 × 336,839
  4. Step 4: Simplify right side
    228,974x = 113,460,511,921
  5. Step 5: Solve for x
    x = 113,460,511,921/228,974
  6. Step 6: Final answer
    x = 495,517.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.