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Finding the Third Proportional to 162.84 and 234.98

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Solution

The third proportional to 162.84 and 234.98 is: 339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 234.98 = 234.98 : x
  2. Step 2: Convert to fraction form
    162.84/234.98 = 234.98/x
  3. Step 3: Cross multiply
    162.84x = 234.98 × 234.98
  4. Step 4: Simplify right side
    162.84x = 55,217.66
  5. Step 5: Solve for x
    x = 55,217.66/162.84
  6. Step 6: Final answer
    x = 339.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.