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Finding the Third Proportional to 192,039 and 290,712

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Solution

The third proportional to 192,039 and 290,712 is: 440,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,039 : 290,712 = 290,712 : x
  2. Step 2: Convert to fraction form
    192,039/290,712 = 290,712/x
  3. Step 3: Cross multiply
    192,039x = 290,712 × 290,712
  4. Step 4: Simplify right side
    192,039x = 84,513,466,944
  5. Step 5: Solve for x
    x = 84,513,466,944/192,039
  6. Step 6: Final answer
    x = 440,084.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.