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Finding the Third Proportional to 192,777.75 and 417,731.63

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Solution

The third proportional to 192,777.75 and 417,731.63 is: 905,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,777.75 : 417,731.63 = 417,731.63 : x
  2. Step 2: Convert to fraction form
    192,777.75/417,731.63 = 417,731.63/x
  3. Step 3: Cross multiply
    192,777.75x = 417,731.63 × 417,731.63
  4. Step 4: Simplify right side
    192,777.75x = 174,499,710,525.14
  5. Step 5: Solve for x
    x = 174,499,710,525.14/192,777.75
  6. Step 6: Final answer
    x = 905,185.95

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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.