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Finding the Third Proportional to 211.44 and 498.16

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Solution

The third proportional to 211.44 and 498.16 is: 1,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 498.16 = 498.16 : x
  2. Step 2: Convert to fraction form
    211.44/498.16 = 498.16/x
  3. Step 3: Cross multiply
    211.44x = 498.16 × 498.16
  4. Step 4: Simplify right side
    211.44x = 248,165.24
  5. Step 5: Solve for x
    x = 248,165.24/211.44
  6. Step 6: Final answer
    x = 1,173.70

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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.