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Finding the Third Proportional to 75.25 and 150.88

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Solution

The third proportional to 75.25 and 150.88 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.25 : 150.88 = 150.88 : x
  2. Step 2: Convert to fraction form
    75.25/150.88 = 150.88/x
  3. Step 3: Cross multiply
    75.25x = 150.88 × 150.88
  4. Step 4: Simplify right side
    75.25x = 22,763.27
  5. Step 5: Solve for x
    x = 22,763.27/75.25
  6. Step 6: Final answer
    x = 302.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.