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Finding the Third Proportional to 106.50 and 235.50

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Solution

The third proportional to 106.50 and 235.50 is: 520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 235.50 = 235.50 : x
  2. Step 2: Convert to fraction form
    106.50/235.50 = 235.50/x
  3. Step 3: Cross multiply
    106.50x = 235.50 × 235.50
  4. Step 4: Simplify right side
    106.50x = 55,460.25
  5. Step 5: Solve for x
    x = 55,460.25/106.50
  6. Step 6: Final answer
    x = 520.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.