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Finding the Third Proportional to 171,018.84 and 395,892.56

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Solution

The third proportional to 171,018.84 and 395,892.56 is: 916,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,018.84 : 395,892.56 = 395,892.56 : x
  2. Step 2: Convert to fraction form
    171,018.84/395,892.56 = 395,892.56/x
  3. Step 3: Cross multiply
    171,018.84x = 395,892.56 × 395,892.56
  4. Step 4: Simplify right side
    171,018.84x = 156,730,921,042.82
  5. Step 5: Solve for x
    x = 156,730,921,042.82/171,018.84
  6. Step 6: Final answer
    x = 916,454.10

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.