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Finding the Third Proportional to 211.99 and 463.85

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Solution

The third proportional to 211.99 and 463.85 is: 1,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.99 : 463.85 = 463.85 : x
  2. Step 2: Convert to fraction form
    211.99/463.85 = 463.85/x
  3. Step 3: Cross multiply
    211.99x = 463.85 × 463.85
  4. Step 4: Simplify right side
    211.99x = 215,158.27
  5. Step 5: Solve for x
    x = 215,158.27/211.99
  6. Step 6: Final answer
    x = 1,014.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.