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Finding the Third Proportional to 162.08 and 241.81

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Solution

The third proportional to 162.08 and 241.81 is: 360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.08 : 241.81 = 241.81 : x
  2. Step 2: Convert to fraction form
    162.08/241.81 = 241.81/x
  3. Step 3: Cross multiply
    162.08x = 241.81 × 241.81
  4. Step 4: Simplify right side
    162.08x = 58,473.76
  5. Step 5: Solve for x
    x = 58,473.76/162.08
  6. Step 6: Final answer
    x = 360.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.