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Finding the Third Proportional to 170,553.94 and 369,491.06

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Solution

The third proportional to 170,553.94 and 369,491.06 is: 800,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,553.94 : 369,491.06 = 369,491.06 : x
  2. Step 2: Convert to fraction form
    170,553.94/369,491.06 = 369,491.06/x
  3. Step 3: Cross multiply
    170,553.94x = 369,491.06 × 369,491.06
  4. Step 4: Simplify right side
    170,553.94x = 136,523,645,267.38
  5. Step 5: Solve for x
    x = 136,523,645,267.38/170,553.94
  6. Step 6: Final answer
    x = 800,471.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.