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Finding the Third Proportional to 245.44 and 536.44

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Solution

The third proportional to 245.44 and 536.44 is: 1,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 536.44 = 536.44 : x
  2. Step 2: Convert to fraction form
    245.44/536.44 = 536.44/x
  3. Step 3: Cross multiply
    245.44x = 536.44 × 536.44
  4. Step 4: Simplify right side
    245.44x = 287,765.19
  5. Step 5: Solve for x
    x = 287,765.19/245.44
  6. Step 6: Final answer
    x = 1,172.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.