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Finding the Third Proportional to 75.28 and 156.09

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Solution

The third proportional to 75.28 and 156.09 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 156.09 = 156.09 : x
  2. Step 2: Convert to fraction form
    75.28/156.09 = 156.09/x
  3. Step 3: Cross multiply
    75.28x = 156.09 × 156.09
  4. Step 4: Simplify right side
    75.28x = 24,365.26
  5. Step 5: Solve for x
    x = 24,365.26/75.28
  6. Step 6: Final answer
    x = 323.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.