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Finding the Third Proportional to 131,766 and 197,289

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Solution

The third proportional to 131,766 and 197,289 is: 295,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,766 : 197,289 = 197,289 : x
  2. Step 2: Convert to fraction form
    131,766/197,289 = 197,289/x
  3. Step 3: Cross multiply
    131,766x = 197,289 × 197,289
  4. Step 4: Simplify right side
    131,766x = 38,922,949,521
  5. Step 5: Solve for x
    x = 38,922,949,521/131,766
  6. Step 6: Final answer
    x = 295,394.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.