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Finding the Third Proportional to 211,626 and 282,123

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Solution

The third proportional to 211,626 and 282,123 is: 376,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,626 : 282,123 = 282,123 : x
  2. Step 2: Convert to fraction form
    211,626/282,123 = 282,123/x
  3. Step 3: Cross multiply
    211,626x = 282,123 × 282,123
  4. Step 4: Simplify right side
    211,626x = 79,593,387,129
  5. Step 5: Solve for x
    x = 79,593,387,129/211,626
  6. Step 6: Final answer
    x = 376,104.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.