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Finding the Third Proportional to 141,204 and 197,502

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Solution

The third proportional to 141,204 and 197,502 is: 276,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,204 : 197,502 = 197,502 : x
  2. Step 2: Convert to fraction form
    141,204/197,502 = 197,502/x
  3. Step 3: Cross multiply
    141,204x = 197,502 × 197,502
  4. Step 4: Simplify right side
    141,204x = 39,007,040,004
  5. Step 5: Solve for x
    x = 39,007,040,004/141,204
  6. Step 6: Final answer
    x = 276,246.00

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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.