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Finding the Third Proportional to 109,329 and 164,330

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Solution

The third proportional to 109,329 and 164,330 is: 247,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,329 : 164,330 = 164,330 : x
  2. Step 2: Convert to fraction form
    109,329/164,330 = 164,330/x
  3. Step 3: Cross multiply
    109,329x = 164,330 × 164,330
  4. Step 4: Simplify right side
    109,329x = 27,004,348,900
  5. Step 5: Solve for x
    x = 27,004,348,900/109,329
  6. Step 6: Final answer
    x = 247,000.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.