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Finding the Third Proportional to 110.21 and 240.36

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Solution

The third proportional to 110.21 and 240.36 is: 524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 240.36 = 240.36 : x
  2. Step 2: Convert to fraction form
    110.21/240.36 = 240.36/x
  3. Step 3: Cross multiply
    110.21x = 240.36 × 240.36
  4. Step 4: Simplify right side
    110.21x = 57,774.51
  5. Step 5: Solve for x
    x = 57,774.51/110.21
  6. Step 6: Final answer
    x = 524.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.