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Finding the Third Proportional to 102,339 and 217,800

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Solution

The third proportional to 102,339 and 217,800 is: 463,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,339 : 217,800 = 217,800 : x
  2. Step 2: Convert to fraction form
    102,339/217,800 = 217,800/x
  3. Step 3: Cross multiply
    102,339x = 217,800 × 217,800
  4. Step 4: Simplify right side
    102,339x = 47,436,840,000
  5. Step 5: Solve for x
    x = 47,436,840,000/102,339
  6. Step 6: Final answer
    x = 463,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.