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Finding the Third Proportional to 192,942 and 290,628

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Solution

The third proportional to 192,942 and 290,628 is: 437,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,942 : 290,628 = 290,628 : x
  2. Step 2: Convert to fraction form
    192,942/290,628 = 290,628/x
  3. Step 3: Cross multiply
    192,942x = 290,628 × 290,628
  4. Step 4: Simplify right side
    192,942x = 84,464,634,384
  5. Step 5: Solve for x
    x = 84,464,634,384/192,942
  6. Step 6: Final answer
    x = 437,772.15

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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.