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Finding the Third Proportional to 228,980 and 336,846

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Solution

The third proportional to 228,980 and 336,846 is: 495,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,980 : 336,846 = 336,846 : x
  2. Step 2: Convert to fraction form
    228,980/336,846 = 336,846/x
  3. Step 3: Cross multiply
    228,980x = 336,846 × 336,846
  4. Step 4: Simplify right side
    228,980x = 113,465,227,716
  5. Step 5: Solve for x
    x = 113,465,227,716/228,980
  6. Step 6: Final answer
    x = 495,524.62

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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.