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Finding the Third Proportional to 102,469.50 and 222,435

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Solution

The third proportional to 102,469.50 and 222,435 is: 482,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,469.50 : 222,435 = 222,435 : x
  2. Step 2: Convert to fraction form
    102,469.50/222,435 = 222,435/x
  3. Step 3: Cross multiply
    102,469.50x = 222,435 × 222,435
  4. Step 4: Simplify right side
    102,469.50x = 49,477,329,225
  5. Step 5: Solve for x
    x = 49,477,329,225/102,469.50
  6. Step 6: Final answer
    x = 482,849.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.