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Finding the Third Proportional to 215,021 and 341,600

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Solution

The third proportional to 215,021 and 341,600 is: 542,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,021 : 341,600 = 341,600 : x
  2. Step 2: Convert to fraction form
    215,021/341,600 = 341,600/x
  3. Step 3: Cross multiply
    215,021x = 341,600 × 341,600
  4. Step 4: Simplify right side
    215,021x = 116,690,560,000
  5. Step 5: Solve for x
    x = 116,690,560,000/215,021
  6. Step 6: Final answer
    x = 542,693.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.