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Finding the Third Proportional to 162.19 and 243.28

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Solution

The third proportional to 162.19 and 243.28 is: 364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 243.28 = 243.28 : x
  2. Step 2: Convert to fraction form
    162.19/243.28 = 243.28/x
  3. Step 3: Cross multiply
    162.19x = 243.28 × 243.28
  4. Step 4: Simplify right side
    162.19x = 59,185.77
  5. Step 5: Solve for x
    x = 59,185.77/162.19
  6. Step 6: Final answer
    x = 364.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.