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Finding the Third Proportional to 171,799 and 366,414

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Solution

The third proportional to 171,799 and 366,414 is: 781,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,799 : 366,414 = 366,414 : x
  2. Step 2: Convert to fraction form
    171,799/366,414 = 366,414/x
  3. Step 3: Cross multiply
    171,799x = 366,414 × 366,414
  4. Step 4: Simplify right side
    171,799x = 134,259,219,396
  5. Step 5: Solve for x
    x = 134,259,219,396/171,799
  6. Step 6: Final answer
    x = 781,490.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.