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Finding the Third Proportional to 107.32 and 253.89

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Solution

The third proportional to 107.32 and 253.89 is: 600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.32 : 253.89 = 253.89 : x
  2. Step 2: Convert to fraction form
    107.32/253.89 = 253.89/x
  3. Step 3: Cross multiply
    107.32x = 253.89 × 253.89
  4. Step 4: Simplify right side
    107.32x = 64,458.28
  5. Step 5: Solve for x
    x = 64,458.28/107.32
  6. Step 6: Final answer
    x = 600.61

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.