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Finding the Third Proportional to 192,762 and 417,702

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Solution

The third proportional to 192,762 and 417,702 is: 905,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,762 : 417,702 = 417,702 : x
  2. Step 2: Convert to fraction form
    192,762/417,702 = 417,702/x
  3. Step 3: Cross multiply
    192,762x = 417,702 × 417,702
  4. Step 4: Simplify right side
    192,762x = 174,474,960,804
  5. Step 5: Solve for x
    x = 174,474,960,804/192,762
  6. Step 6: Final answer
    x = 905,131.51

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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.