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Finding the Third Proportional to 161.37 and 236.83

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Solution

The third proportional to 161.37 and 236.83 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 236.83 = 236.83 : x
  2. Step 2: Convert to fraction form
    161.37/236.83 = 236.83/x
  3. Step 3: Cross multiply
    161.37x = 236.83 × 236.83
  4. Step 4: Simplify right side
    161.37x = 56,088.49
  5. Step 5: Solve for x
    x = 56,088.49/161.37
  6. Step 6: Final answer
    x = 347.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.