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Finding the Third Proportional to 158.25 and 245.25

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Solution

The third proportional to 158.25 and 245.25 is: 380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 245.25 = 245.25 : x
  2. Step 2: Convert to fraction form
    158.25/245.25 = 245.25/x
  3. Step 3: Cross multiply
    158.25x = 245.25 × 245.25
  4. Step 4: Simplify right side
    158.25x = 60,147.56
  5. Step 5: Solve for x
    x = 60,147.56/158.25
  6. Step 6: Final answer
    x = 380.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.