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Finding the Third Proportional to 150.75 and 210.56

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Solution

The third proportional to 150.75 and 210.56 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 210.56 = 210.56 : x
  2. Step 2: Convert to fraction form
    150.75/210.56 = 210.56/x
  3. Step 3: Cross multiply
    150.75x = 210.56 × 210.56
  4. Step 4: Simplify right side
    150.75x = 44,336.57
  5. Step 5: Solve for x
    x = 44,336.57/150.75
  6. Step 6: Final answer
    x = 294.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.