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Finding the Third Proportional to 84,928 and 181,760

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Solution

The third proportional to 84,928 and 181,760 is: 388,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928 : 181,760 = 181,760 : x
  2. Step 2: Convert to fraction form
    84,928/181,760 = 181,760/x
  3. Step 3: Cross multiply
    84,928x = 181,760 × 181,760
  4. Step 4: Simplify right side
    84,928x = 33,036,697,600
  5. Step 5: Solve for x
    x = 33,036,697,600/84,928
  6. Step 6: Final answer
    x = 388,996.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.