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Finding the Third Proportional to 262.55 and 559.90

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Solution

The third proportional to 262.55 and 559.90 is: 1,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.55 : 559.90 = 559.90 : x
  2. Step 2: Convert to fraction form
    262.55/559.90 = 559.90/x
  3. Step 3: Cross multiply
    262.55x = 559.90 × 559.90
  4. Step 4: Simplify right side
    262.55x = 313,486.26
  5. Step 5: Solve for x
    x = 313,486.26/262.55
  6. Step 6: Final answer
    x = 1,194.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.