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Finding the Third Proportional to 192,753 and 417,683.25

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Solution

The third proportional to 192,753 and 417,683.25 is: 905,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,753 : 417,683.25 = 417,683.25 : x
  2. Step 2: Convert to fraction form
    192,753/417,683.25 = 417,683.25/x
  3. Step 3: Cross multiply
    192,753x = 417,683.25 × 417,683.25
  4. Step 4: Simplify right side
    192,753x = 174,459,297,330.56
  5. Step 5: Solve for x
    x = 174,459,297,330.56/192,753
  6. Step 6: Final answer
    x = 905,092.51

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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.