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Finding the Third Proportional to 171,294 and 368,838

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Solution

The third proportional to 171,294 and 368,838 is: 794,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,294 : 368,838 = 368,838 : x
  2. Step 2: Convert to fraction form
    171,294/368,838 = 368,838/x
  3. Step 3: Cross multiply
    171,294x = 368,838 × 368,838
  4. Step 4: Simplify right side
    171,294x = 136,041,470,244
  5. Step 5: Solve for x
    x = 136,041,470,244/171,294
  6. Step 6: Final answer
    x = 794,198.69

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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.