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Finding the Third Proportional to 107.51 and 253.55

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Solution

The third proportional to 107.51 and 253.55 is: 597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.51 : 253.55 = 253.55 : x
  2. Step 2: Convert to fraction form
    107.51/253.55 = 253.55/x
  3. Step 3: Cross multiply
    107.51x = 253.55 × 253.55
  4. Step 4: Simplify right side
    107.51x = 64,286.02
  5. Step 5: Solve for x
    x = 64,286.02/107.51
  6. Step 6: Final answer
    x = 597.97

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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.