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Finding the Third Proportional to 141,930 and 197,343

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Solution

The third proportional to 141,930 and 197,343 is: 274,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,930 : 197,343 = 197,343 : x
  2. Step 2: Convert to fraction form
    141,930/197,343 = 197,343/x
  3. Step 3: Cross multiply
    141,930x = 197,343 × 197,343
  4. Step 4: Simplify right side
    141,930x = 38,944,259,649
  5. Step 5: Solve for x
    x = 38,944,259,649/141,930
  6. Step 6: Final answer
    x = 274,390.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.