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Finding the Third Proportional to 131,841 and 212,247

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Solution

The third proportional to 131,841 and 212,247 is: 341,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,841 : 212,247 = 212,247 : x
  2. Step 2: Convert to fraction form
    131,841/212,247 = 212,247/x
  3. Step 3: Cross multiply
    131,841x = 212,247 × 212,247
  4. Step 4: Simplify right side
    131,841x = 45,048,789,009
  5. Step 5: Solve for x
    x = 45,048,789,009/131,841
  6. Step 6: Final answer
    x = 341,690.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.