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Finding the Third Proportional to 197.02 and 511.52

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Solution

The third proportional to 197.02 and 511.52 is: 1,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 511.52 = 511.52 : x
  2. Step 2: Convert to fraction form
    197.02/511.52 = 511.52/x
  3. Step 3: Cross multiply
    197.02x = 511.52 × 511.52
  4. Step 4: Simplify right side
    197.02x = 261,656.23
  5. Step 5: Solve for x
    x = 261,656.23/197.02
  6. Step 6: Final answer
    x = 1,328.10

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.