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Finding the Third Proportional to 170,192 and 354,386

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Solution

The third proportional to 170,192 and 354,386 is: 737,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,192 : 354,386 = 354,386 : x
  2. Step 2: Convert to fraction form
    170,192/354,386 = 354,386/x
  3. Step 3: Cross multiply
    170,192x = 354,386 × 354,386
  4. Step 4: Simplify right side
    170,192x = 125,589,436,996
  5. Step 5: Solve for x
    x = 125,589,436,996/170,192
  6. Step 6: Final answer
    x = 737,927.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.