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Finding the Third Proportional to 130.25 and 178.38

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Solution

The third proportional to 130.25 and 178.38 is: 244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 178.38 = 178.38 : x
  2. Step 2: Convert to fraction form
    130.25/178.38 = 178.38/x
  3. Step 3: Cross multiply
    130.25x = 178.38 × 178.38
  4. Step 4: Simplify right side
    130.25x = 31,817.64
  5. Step 5: Solve for x
    x = 31,817.64/130.25
  6. Step 6: Final answer
    x = 244.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.