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Finding the Third Proportional to 115,996.50 and 176,424.75

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Solution

The third proportional to 115,996.50 and 176,424.75 is: 268,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,996.50 : 176,424.75 = 176,424.75 : x
  2. Step 2: Convert to fraction form
    115,996.50/176,424.75 = 176,424.75/x
  3. Step 3: Cross multiply
    115,996.50x = 176,424.75 × 176,424.75
  4. Step 4: Simplify right side
    115,996.50x = 31,125,692,412.56
  5. Step 5: Solve for x
    x = 31,125,692,412.56/115,996.50
  6. Step 6: Final answer
    x = 268,333.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.