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Finding the Third Proportional to 162.18 and 232.46

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Solution

The third proportional to 162.18 and 232.46 is: 333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 232.46 = 232.46 : x
  2. Step 2: Convert to fraction form
    162.18/232.46 = 232.46/x
  3. Step 3: Cross multiply
    162.18x = 232.46 × 232.46
  4. Step 4: Simplify right side
    162.18x = 54,038.67
  5. Step 5: Solve for x
    x = 54,038.67/162.18
  6. Step 6: Final answer
    x = 333.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.