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Finding the Third Proportional to 68.98 and 150.26

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Solution

The third proportional to 68.98 and 150.26 is: 327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.98 : 150.26 = 150.26 : x
  2. Step 2: Convert to fraction form
    68.98/150.26 = 150.26/x
  3. Step 3: Cross multiply
    68.98x = 150.26 × 150.26
  4. Step 4: Simplify right side
    68.98x = 22,577.41
  5. Step 5: Solve for x
    x = 22,577.41/68.98
  6. Step 6: Final answer
    x = 327.32

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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.