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Finding the Third Proportional to 221.75 and 341.88

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Solution

The third proportional to 221.75 and 341.88 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 341.88 = 341.88 : x
  2. Step 2: Convert to fraction form
    221.75/341.88 = 341.88/x
  3. Step 3: Cross multiply
    221.75x = 341.88 × 341.88
  4. Step 4: Simplify right side
    221.75x = 116,878.52
  5. Step 5: Solve for x
    x = 116,878.52/221.75
  6. Step 6: Final answer
    x = 527.07

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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.