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Finding the Third Proportional to 222,819.50 and 329,315

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Solution

The third proportional to 222,819.50 and 329,315 is: 486,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,819.50 : 329,315 = 329,315 : x
  2. Step 2: Convert to fraction form
    222,819.50/329,315 = 329,315/x
  3. Step 3: Cross multiply
    222,819.50x = 329,315 × 329,315
  4. Step 4: Simplify right side
    222,819.50x = 108,448,369,225
  5. Step 5: Solve for x
    x = 108,448,369,225/222,819.50
  6. Step 6: Final answer
    x = 486,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.