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Finding the Third Proportional to 171,846.56 and 376,908.19

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Solution

The third proportional to 171,846.56 and 376,908.19 is: 826,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,846.56 : 376,908.19 = 376,908.19 : x
  2. Step 2: Convert to fraction form
    171,846.56/376,908.19 = 376,908.19/x
  3. Step 3: Cross multiply
    171,846.56x = 376,908.19 × 376,908.19
  4. Step 4: Simplify right side
    171,846.56x = 142,059,781,804.54
  5. Step 5: Solve for x
    x = 142,059,781,804.54/171,846.56
  6. Step 6: Final answer
    x = 826,666.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.