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Finding the Third Proportional to 221.91 and 341.30

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Solution

The third proportional to 221.91 and 341.30 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.91 : 341.30 = 341.30 : x
  2. Step 2: Convert to fraction form
    221.91/341.30 = 341.30/x
  3. Step 3: Cross multiply
    221.91x = 341.30 × 341.30
  4. Step 4: Simplify right side
    221.91x = 116,483.56
  5. Step 5: Solve for x
    x = 116,483.56/221.91
  6. Step 6: Final answer
    x = 524.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.