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Finding the Third Proportional to 231.56 and 368.44

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Solution

The third proportional to 231.56 and 368.44 is: 586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 368.44 = 368.44 : x
  2. Step 2: Convert to fraction form
    231.56/368.44 = 368.44/x
  3. Step 3: Cross multiply
    231.56x = 368.44 × 368.44
  4. Step 4: Simplify right side
    231.56x = 135,746.19
  5. Step 5: Solve for x
    x = 135,746.19/231.56
  6. Step 6: Final answer
    x = 586.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.