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Finding the Third Proportional to 211.88 and 499.94

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Solution

The third proportional to 211.88 and 499.94 is: 1,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 499.94 = 499.94 : x
  2. Step 2: Convert to fraction form
    211.88/499.94 = 499.94/x
  3. Step 3: Cross multiply
    211.88x = 499.94 × 499.94
  4. Step 4: Simplify right side
    211.88x = 249,937.50
  5. Step 5: Solve for x
    x = 249,937.50/211.88
  6. Step 6: Final answer
    x = 1,179.65

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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.