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Finding the Third Proportional to 141,204.75 and 197,502.75

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Solution

The third proportional to 141,204.75 and 197,502.75 is: 276,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,204.75 : 197,502.75 = 197,502.75 : x
  2. Step 2: Convert to fraction form
    141,204.75/197,502.75 = 197,502.75/x
  3. Step 3: Cross multiply
    141,204.75x = 197,502.75 × 197,502.75
  4. Step 4: Simplify right side
    141,204.75x = 39,007,336,257.56
  5. Step 5: Solve for x
    x = 39,007,336,257.56/141,204.75
  6. Step 6: Final answer
    x = 276,246.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.