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Finding the Third Proportional to 150,086 and 211,089

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Solution

The third proportional to 150,086 and 211,089 is: 296,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,086 : 211,089 = 211,089 : x
  2. Step 2: Convert to fraction form
    150,086/211,089 = 211,089/x
  3. Step 3: Cross multiply
    150,086x = 211,089 × 211,089
  4. Step 4: Simplify right side
    150,086x = 44,558,565,921
  5. Step 5: Solve for x
    x = 44,558,565,921/150,086
  6. Step 6: Final answer
    x = 296,886.89

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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.