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Finding the Third Proportional to 80,677.69 and 177,278.63

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Solution

The third proportional to 80,677.69 and 177,278.63 is: 389,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,677.69 : 177,278.63 = 177,278.63 : x
  2. Step 2: Convert to fraction form
    80,677.69/177,278.63 = 177,278.63/x
  3. Step 3: Cross multiply
    80,677.69x = 177,278.63 × 177,278.63
  4. Step 4: Simplify right side
    80,677.69x = 31,427,710,881.89
  5. Step 5: Solve for x
    x = 31,427,710,881.89/80,677.69
  6. Step 6: Final answer
    x = 389,546.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.