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Finding the Third Proportional to 135,833 and 296,911

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Solution

The third proportional to 135,833 and 296,911 is: 649,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,833 : 296,911 = 296,911 : x
  2. Step 2: Convert to fraction form
    135,833/296,911 = 296,911/x
  3. Step 3: Cross multiply
    135,833x = 296,911 × 296,911
  4. Step 4: Simplify right side
    135,833x = 88,156,141,921
  5. Step 5: Solve for x
    x = 88,156,141,921/135,833
  6. Step 6: Final answer
    x = 649,003.86

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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.