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Finding the Third Proportional to 197.38 and 460.88

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Solution

The third proportional to 197.38 and 460.88 is: 1,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 460.88 = 460.88 : x
  2. Step 2: Convert to fraction form
    197.38/460.88 = 460.88/x
  3. Step 3: Cross multiply
    197.38x = 460.88 × 460.88
  4. Step 4: Simplify right side
    197.38x = 212,405.77
  5. Step 5: Solve for x
    x = 212,405.77/197.38
  6. Step 6: Final answer
    x = 1,076.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.