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Finding the Third Proportional to 150,898 and 326,299

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Solution

The third proportional to 150,898 and 326,299 is: 705,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,898 : 326,299 = 326,299 : x
  2. Step 2: Convert to fraction form
    150,898/326,299 = 326,299/x
  3. Step 3: Cross multiply
    150,898x = 326,299 × 326,299
  4. Step 4: Simplify right side
    150,898x = 106,471,037,401
  5. Step 5: Solve for x
    x = 106,471,037,401/150,898
  6. Step 6: Final answer
    x = 705,582.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.