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Finding the Third Proportional to 70.25 and 150.25

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Solution

The third proportional to 70.25 and 150.25 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 150.25 = 150.25 : x
  2. Step 2: Convert to fraction form
    70.25/150.25 = 150.25/x
  3. Step 3: Cross multiply
    70.25x = 150.25 × 150.25
  4. Step 4: Simplify right side
    70.25x = 22,575.06
  5. Step 5: Solve for x
    x = 22,575.06/70.25
  6. Step 6: Final answer
    x = 321.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.