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Finding the Third Proportional to 123.44 and 290.84

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Solution

The third proportional to 123.44 and 290.84 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.44 : 290.84 = 290.84 : x
  2. Step 2: Convert to fraction form
    123.44/290.84 = 290.84/x
  3. Step 3: Cross multiply
    123.44x = 290.84 × 290.84
  4. Step 4: Simplify right side
    123.44x = 84,590.09
  5. Step 5: Solve for x
    x = 84,590.09/123.44
  6. Step 6: Final answer
    x = 685.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.