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Finding the Third Proportional to 156.66 and 225.66

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Solution

The third proportional to 156.66 and 225.66 is: 325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.66 : 225.66 = 225.66 : x
  2. Step 2: Convert to fraction form
    156.66/225.66 = 225.66/x
  3. Step 3: Cross multiply
    156.66x = 225.66 × 225.66
  4. Step 4: Simplify right side
    156.66x = 50,920.74
  5. Step 5: Solve for x
    x = 50,920.74/156.66
  6. Step 6: Final answer
    x = 325.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.