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Finding the Third Proportional to 153,876 and 347,266

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Solution

The third proportional to 153,876 and 347,266 is: 783,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,876 : 347,266 = 347,266 : x
  2. Step 2: Convert to fraction form
    153,876/347,266 = 347,266/x
  3. Step 3: Cross multiply
    153,876x = 347,266 × 347,266
  4. Step 4: Simplify right side
    153,876x = 120,593,674,756
  5. Step 5: Solve for x
    x = 120,593,674,756/153,876
  6. Step 6: Final answer
    x = 783,706.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.