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Finding the Third Proportional to 135,837 and 296,916

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Solution

The third proportional to 135,837 and 296,916 is: 649,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,837 : 296,916 = 296,916 : x
  2. Step 2: Convert to fraction form
    135,837/296,916 = 296,916/x
  3. Step 3: Cross multiply
    135,837x = 296,916 × 296,916
  4. Step 4: Simplify right side
    135,837x = 88,159,111,056
  5. Step 5: Solve for x
    x = 88,159,111,056/135,837
  6. Step 6: Final answer
    x = 649,006.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.