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Finding the Third Proportional to 141,196.29 and 197,490.66

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Solution

The third proportional to 141,196.29 and 197,490.66 is: 276,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,196.29 : 197,490.66 = 197,490.66 : x
  2. Step 2: Convert to fraction form
    141,196.29/197,490.66 = 197,490.66/x
  3. Step 3: Cross multiply
    141,196.29x = 197,490.66 × 197,490.66
  4. Step 4: Simplify right side
    141,196.29x = 39,002,559,306.06
  5. Step 5: Solve for x
    x = 39,002,559,306.06/141,196.29
  6. Step 6: Final answer
    x = 276,229.35

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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.