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Finding the Third Proportional to 127,797.75 and 197,857.69

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Solution

The third proportional to 127,797.75 and 197,857.69 is: 306,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,797.75 : 197,857.69 = 197,857.69 : x
  2. Step 2: Convert to fraction form
    127,797.75/197,857.69 = 197,857.69/x
  3. Step 3: Cross multiply
    127,797.75x = 197,857.69 × 197,857.69
  4. Step 4: Simplify right side
    127,797.75x = 39,147,664,502.85
  5. Step 5: Solve for x
    x = 39,147,664,502.85/127,797.75
  6. Step 6: Final answer
    x = 306,325.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.