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Finding the Third Proportional to 220.69 and 341.16

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Solution

The third proportional to 220.69 and 341.16 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.69 : 341.16 = 341.16 : x
  2. Step 2: Convert to fraction form
    220.69/341.16 = 341.16/x
  3. Step 3: Cross multiply
    220.69x = 341.16 × 341.16
  4. Step 4: Simplify right side
    220.69x = 116,387.59
  5. Step 5: Solve for x
    x = 116,387.59/220.69
  6. Step 6: Final answer
    x = 527.39

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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.