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Finding the Third Proportional to 162.19 and 232.13

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Solution

The third proportional to 162.19 and 232.13 is: 332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 232.13 = 232.13 : x
  2. Step 2: Convert to fraction form
    162.19/232.13 = 232.13/x
  3. Step 3: Cross multiply
    162.19x = 232.13 × 232.13
  4. Step 4: Simplify right side
    162.19x = 53,882.02
  5. Step 5: Solve for x
    x = 53,882.02/162.19
  6. Step 6: Final answer
    x = 332.22

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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.