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Finding the Third Proportional to 162.32 and 234.93

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Solution

The third proportional to 162.32 and 234.93 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.32 : 234.93 = 234.93 : x
  2. Step 2: Convert to fraction form
    162.32/234.93 = 234.93/x
  3. Step 3: Cross multiply
    162.32x = 234.93 × 234.93
  4. Step 4: Simplify right side
    162.32x = 55,192.88
  5. Step 5: Solve for x
    x = 55,192.88/162.32
  6. Step 6: Final answer
    x = 340.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.