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Finding the Third Proportional to 211.78 and 328.22

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Solution

The third proportional to 211.78 and 328.22 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 328.22 = 328.22 : x
  2. Step 2: Convert to fraction form
    211.78/328.22 = 328.22/x
  3. Step 3: Cross multiply
    211.78x = 328.22 × 328.22
  4. Step 4: Simplify right side
    211.78x = 107,727.55
  5. Step 5: Solve for x
    x = 107,727.55/211.78
  6. Step 6: Final answer
    x = 508.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.