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Finding the Third Proportional to 228,911 and 336,751

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Solution

The third proportional to 228,911 and 336,751 is: 495,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,911 : 336,751 = 336,751 : x
  2. Step 2: Convert to fraction form
    228,911/336,751 = 336,751/x
  3. Step 3: Cross multiply
    228,911x = 336,751 × 336,751
  4. Step 4: Simplify right side
    228,911x = 113,401,236,001
  5. Step 5: Solve for x
    x = 113,401,236,001/228,911
  6. Step 6: Final answer
    x = 495,394.44

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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.