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Finding the Third Proportional to 110,708.25 and 176,243.63

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Solution

The third proportional to 110,708.25 and 176,243.63 is: 280,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,708.25 : 176,243.63 = 176,243.63 : x
  2. Step 2: Convert to fraction form
    110,708.25/176,243.63 = 176,243.63/x
  3. Step 3: Cross multiply
    110,708.25x = 176,243.63 × 176,243.63
  4. Step 4: Simplify right side
    110,708.25x = 31,061,815,353.14
  5. Step 5: Solve for x
    x = 31,061,815,353.14/110,708.25
  6. Step 6: Final answer
    x = 280,573.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.