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Finding the Third Proportional to 171,451.69 and 369,426.45

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Solution

The third proportional to 171,451.69 and 369,426.45 is: 796,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 369,426.45 = 369,426.45 : x
  2. Step 2: Convert to fraction form
    171,451.69/369,426.45 = 369,426.45/x
  3. Step 3: Cross multiply
    171,451.69x = 369,426.45 × 369,426.45
  4. Step 4: Simplify right side
    171,451.69x = 136,475,898,496.23
  5. Step 5: Solve for x
    x = 136,475,898,496.23/171,451.69
  6. Step 6: Final answer
    x = 796,002.07

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