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Finding the Third Proportional to 192,390 and 262,088

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Solution

The third proportional to 192,390 and 262,088 is: 357,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,390 : 262,088 = 262,088 : x
  2. Step 2: Convert to fraction form
    192,390/262,088 = 262,088/x
  3. Step 3: Cross multiply
    192,390x = 262,088 × 262,088
  4. Step 4: Simplify right side
    192,390x = 68,690,119,744
  5. Step 5: Solve for x
    x = 68,690,119,744/192,390
  6. Step 6: Final answer
    x = 357,035.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.