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Finding the Third Proportional to 103,022 and 217,299

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Solution

The third proportional to 103,022 and 217,299 is: 458,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,022 : 217,299 = 217,299 : x
  2. Step 2: Convert to fraction form
    103,022/217,299 = 217,299/x
  3. Step 3: Cross multiply
    103,022x = 217,299 × 217,299
  4. Step 4: Simplify right side
    103,022x = 47,218,855,401
  5. Step 5: Solve for x
    x = 47,218,855,401/103,022
  6. Step 6: Final answer
    x = 458,337.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.