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Finding the Third Proportional to 159,796 and 347,482

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Solution

The third proportional to 159,796 and 347,482 is: 755,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,796 : 347,482 = 347,482 : x
  2. Step 2: Convert to fraction form
    159,796/347,482 = 347,482/x
  3. Step 3: Cross multiply
    159,796x = 347,482 × 347,482
  4. Step 4: Simplify right side
    159,796x = 120,743,740,324
  5. Step 5: Solve for x
    x = 120,743,740,324/159,796
  6. Step 6: Final answer
    x = 755,611.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.