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Finding the Third Proportional to 89,651.25 and 211,329

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Solution

The third proportional to 89,651.25 and 211,329 is: 498,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,651.25 : 211,329 = 211,329 : x
  2. Step 2: Convert to fraction form
    89,651.25/211,329 = 211,329/x
  3. Step 3: Cross multiply
    89,651.25x = 211,329 × 211,329
  4. Step 4: Simplify right side
    89,651.25x = 44,659,946,241
  5. Step 5: Solve for x
    x = 44,659,946,241/89,651.25
  6. Step 6: Final answer
    x = 498,151.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.