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Finding the Third Proportional to 136,818 and 197,976

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Solution

The third proportional to 136,818 and 197,976 is: 286,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,818 : 197,976 = 197,976 : x
  2. Step 2: Convert to fraction form
    136,818/197,976 = 197,976/x
  3. Step 3: Cross multiply
    136,818x = 197,976 × 197,976
  4. Step 4: Simplify right side
    136,818x = 39,194,496,576
  5. Step 5: Solve for x
    x = 39,194,496,576/136,818
  6. Step 6: Final answer
    x = 286,471.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.