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Finding the Third Proportional to 213.88 and 342.94

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Solution

The third proportional to 213.88 and 342.94 is: 549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 342.94 = 342.94 : x
  2. Step 2: Convert to fraction form
    213.88/342.94 = 342.94/x
  3. Step 3: Cross multiply
    213.88x = 342.94 × 342.94
  4. Step 4: Simplify right side
    213.88x = 117,606.13
  5. Step 5: Solve for x
    x = 117,606.13/213.88
  6. Step 6: Final answer
    x = 549.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.