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Finding the Third Proportional to 147,296 and 323,266

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Solution

The third proportional to 147,296 and 323,266 is: 709,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,296 : 323,266 = 323,266 : x
  2. Step 2: Convert to fraction form
    147,296/323,266 = 323,266/x
  3. Step 3: Cross multiply
    147,296x = 323,266 × 323,266
  4. Step 4: Simplify right side
    147,296x = 104,500,906,756
  5. Step 5: Solve for x
    x = 104,500,906,756/147,296
  6. Step 6: Final answer
    x = 709,461.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.