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Finding the Third Proportional to 215.38 and 342.38

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Solution

The third proportional to 215.38 and 342.38 is: 544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 342.38 = 342.38 : x
  2. Step 2: Convert to fraction form
    215.38/342.38 = 342.38/x
  3. Step 3: Cross multiply
    215.38x = 342.38 × 342.38
  4. Step 4: Simplify right side
    215.38x = 117,220.64
  5. Step 5: Solve for x
    x = 117,220.64/215.38
  6. Step 6: Final answer
    x = 544.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.