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Finding the Third Proportional to 131,972 and 290,186

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Solution

The third proportional to 131,972 and 290,186 is: 638,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,972 : 290,186 = 290,186 : x
  2. Step 2: Convert to fraction form
    131,972/290,186 = 290,186/x
  3. Step 3: Cross multiply
    131,972x = 290,186 × 290,186
  4. Step 4: Simplify right side
    131,972x = 84,207,914,596
  5. Step 5: Solve for x
    x = 84,207,914,596/131,972
  6. Step 6: Final answer
    x = 638,074.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.