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Finding the Third Proportional to 107.66 and 235.34

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Solution

The third proportional to 107.66 and 235.34 is: 514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 235.34 = 235.34 : x
  2. Step 2: Convert to fraction form
    107.66/235.34 = 235.34/x
  3. Step 3: Cross multiply
    107.66x = 235.34 × 235.34
  4. Step 4: Simplify right side
    107.66x = 55,386.68
  5. Step 5: Solve for x
    x = 55,386.68/107.66
  6. Step 6: Final answer
    x = 514.48

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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.