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Finding the Third Proportional to 80,458.31 and 174,924.56

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Solution

The third proportional to 80,458.31 and 174,924.56 is: 380,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,458.31 : 174,924.56 = 174,924.56 : x
  2. Step 2: Convert to fraction form
    80,458.31/174,924.56 = 174,924.56/x
  3. Step 3: Cross multiply
    80,458.31x = 174,924.56 × 174,924.56
  4. Step 4: Simplify right side
    80,458.31x = 30,598,602,565.82
  5. Step 5: Solve for x
    x = 30,598,602,565.82/80,458.31
  6. Step 6: Final answer
    x = 380,303.81

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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.