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Finding the Third Proportional to 100,452 and 211,248

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Solution

The third proportional to 100,452 and 211,248 is: 444,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452 : 211,248 = 211,248 : x
  2. Step 2: Convert to fraction form
    100,452/211,248 = 211,248/x
  3. Step 3: Cross multiply
    100,452x = 211,248 × 211,248
  4. Step 4: Simplify right side
    100,452x = 44,625,717,504
  5. Step 5: Solve for x
    x = 44,625,717,504/100,452
  6. Step 6: Final answer
    x = 444,249.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.