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Finding the Third Proportional to 171,842 and 369,079

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Solution

The third proportional to 171,842 and 369,079 is: 792,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,842 : 369,079 = 369,079 : x
  2. Step 2: Convert to fraction form
    171,842/369,079 = 369,079/x
  3. Step 3: Cross multiply
    171,842x = 369,079 × 369,079
  4. Step 4: Simplify right side
    171,842x = 136,219,308,241
  5. Step 5: Solve for x
    x = 136,219,308,241/171,842
  6. Step 6: Final answer
    x = 792,700.90

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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.