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Finding the Third Proportional to 135.75 and 346.88

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Solution

The third proportional to 135.75 and 346.88 is: 886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 346.88 = 346.88 : x
  2. Step 2: Convert to fraction form
    135.75/346.88 = 346.88/x
  3. Step 3: Cross multiply
    135.75x = 346.88 × 346.88
  4. Step 4: Simplify right side
    135.75x = 120,322.27
  5. Step 5: Solve for x
    x = 120,322.27/135.75
  6. Step 6: Final answer
    x = 886.35

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.