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Finding the Third Proportional to 197,016 and 288,531

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Solution

The third proportional to 197,016 and 288,531 is: 422,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,016 : 288,531 = 288,531 : x
  2. Step 2: Convert to fraction form
    197,016/288,531 = 288,531/x
  3. Step 3: Cross multiply
    197,016x = 288,531 × 288,531
  4. Step 4: Simplify right side
    197,016x = 83,250,137,961
  5. Step 5: Solve for x
    x = 83,250,137,961/197,016
  6. Step 6: Final answer
    x = 422,555.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.