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Finding the Third Proportional to 197.19 and 460.63

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Solution

The third proportional to 197.19 and 460.63 is: 1,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.19 : 460.63 = 460.63 : x
  2. Step 2: Convert to fraction form
    197.19/460.63 = 460.63/x
  3. Step 3: Cross multiply
    197.19x = 460.63 × 460.63
  4. Step 4: Simplify right side
    197.19x = 212,175.39
  5. Step 5: Solve for x
    x = 212,175.39/197.19
  6. Step 6: Final answer
    x = 1,076.01

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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.