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Finding the Third Proportional to 214,936 and 338,892

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Solution

The third proportional to 214,936 and 338,892 is: 534,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,936 : 338,892 = 338,892 : x
  2. Step 2: Convert to fraction form
    214,936/338,892 = 338,892/x
  3. Step 3: Cross multiply
    214,936x = 338,892 × 338,892
  4. Step 4: Simplify right side
    214,936x = 114,847,787,664
  5. Step 5: Solve for x
    x = 114,847,787,664/214,936
  6. Step 6: Final answer
    x = 534,334.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.