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Finding the Third Proportional to 197.06 and 460.31

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Solution

The third proportional to 197.06 and 460.31 is: 1,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 460.31 = 460.31 : x
  2. Step 2: Convert to fraction form
    197.06/460.31 = 460.31/x
  3. Step 3: Cross multiply
    197.06x = 460.31 × 460.31
  4. Step 4: Simplify right side
    197.06x = 211,887.60
  5. Step 5: Solve for x
    x = 211,887.60/197.06
  6. Step 6: Final answer
    x = 1,075.23

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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.