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Finding the Third Proportional to 268.75 and 590.38

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Solution

The third proportional to 268.75 and 590.38 is: 1,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.75 : 590.38 = 590.38 : x
  2. Step 2: Convert to fraction form
    268.75/590.38 = 590.38/x
  3. Step 3: Cross multiply
    268.75x = 590.38 × 590.38
  4. Step 4: Simplify right side
    268.75x = 348,542.64
  5. Step 5: Solve for x
    x = 348,542.64/268.75
  6. Step 6: Final answer
    x = 1,296.90

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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.