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Finding the Third Proportional to 192,754.27 and 417,685.78

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Solution

The third proportional to 192,754.27 and 417,685.78 is: 905,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,754.27 : 417,685.78 = 417,685.78 : x
  2. Step 2: Convert to fraction form
    192,754.27/417,685.78 = 417,685.78/x
  3. Step 3: Cross multiply
    192,754.27x = 417,685.78 × 417,685.78
  4. Step 4: Simplify right side
    192,754.27x = 174,461,411,858.42
  5. Step 5: Solve for x
    x = 174,461,411,858.42/192,754.27
  6. Step 6: Final answer
    x = 905,097.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.