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Finding the Third Proportional to 156.09 and 237.66

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Solution

The third proportional to 156.09 and 237.66 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 237.66 = 237.66 : x
  2. Step 2: Convert to fraction form
    156.09/237.66 = 237.66/x
  3. Step 3: Cross multiply
    156.09x = 237.66 × 237.66
  4. Step 4: Simplify right side
    156.09x = 56,480.49
  5. Step 5: Solve for x
    x = 56,480.49/156.09
  6. Step 6: Final answer
    x = 361.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.