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Finding the Third Proportional to 171,219 and 368,790

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Solution

The third proportional to 171,219 and 368,790 is: 794,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,219 : 368,790 = 368,790 : x
  2. Step 2: Convert to fraction form
    171,219/368,790 = 368,790/x
  3. Step 3: Cross multiply
    171,219x = 368,790 × 368,790
  4. Step 4: Simplify right side
    171,219x = 136,006,064,100
  5. Step 5: Solve for x
    x = 136,006,064,100/171,219
  6. Step 6: Final answer
    x = 794,339.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.