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Finding the Third Proportional to 120.38 and 263.63

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Solution

The third proportional to 120.38 and 263.63 is: 577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 263.63 = 263.63 : x
  2. Step 2: Convert to fraction form
    120.38/263.63 = 263.63/x
  3. Step 3: Cross multiply
    120.38x = 263.63 × 263.63
  4. Step 4: Simplify right side
    120.38x = 69,498.14
  5. Step 5: Solve for x
    x = 69,498.14/120.38
  6. Step 6: Final answer
    x = 577.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.