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Finding the Third Proportional to 119.63 and 221.63

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Solution

The third proportional to 119.63 and 221.63 is: 410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 221.63 = 221.63 : x
  2. Step 2: Convert to fraction form
    119.63/221.63 = 221.63/x
  3. Step 3: Cross multiply
    119.63x = 221.63 × 221.63
  4. Step 4: Simplify right side
    119.63x = 49,117.64
  5. Step 5: Solve for x
    x = 49,117.64/119.63
  6. Step 6: Final answer
    x = 410.60

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.