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Finding the Third Proportional to 214,089 and 301,218

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Solution

The third proportional to 214,089 and 301,218 is: 423,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,089 : 301,218 = 301,218 : x
  2. Step 2: Convert to fraction form
    214,089/301,218 = 301,218/x
  3. Step 3: Cross multiply
    214,089x = 301,218 × 301,218
  4. Step 4: Simplify right side
    214,089x = 90,732,283,524
  5. Step 5: Solve for x
    x = 90,732,283,524/214,089
  6. Step 6: Final answer
    x = 423,806.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.