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Finding the Third Proportional to 120.94 and 265.50

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Solution

The third proportional to 120.94 and 265.50 is: 582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 265.50 = 265.50 : x
  2. Step 2: Convert to fraction form
    120.94/265.50 = 265.50/x
  3. Step 3: Cross multiply
    120.94x = 265.50 × 265.50
  4. Step 4: Simplify right side
    120.94x = 70,490.25
  5. Step 5: Solve for x
    x = 70,490.25/120.94
  6. Step 6: Final answer
    x = 582.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.