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Finding the Third Proportional to 163.90 and 241.10

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Solution

The third proportional to 163.90 and 241.10 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 241.10 = 241.10 : x
  2. Step 2: Convert to fraction form
    163.90/241.10 = 241.10/x
  3. Step 3: Cross multiply
    163.90x = 241.10 × 241.10
  4. Step 4: Simplify right side
    163.90x = 58,129.96
  5. Step 5: Solve for x
    x = 58,129.96/163.90
  6. Step 6: Final answer
    x = 354.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.