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Finding the Third Proportional to 192,906 and 300,402

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Solution

The third proportional to 192,906 and 300,402 is: 467,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,906 : 300,402 = 300,402 : x
  2. Step 2: Convert to fraction form
    192,906/300,402 = 300,402/x
  3. Step 3: Cross multiply
    192,906x = 300,402 × 300,402
  4. Step 4: Simplify right side
    192,906x = 90,241,361,604
  5. Step 5: Solve for x
    x = 90,241,361,604/192,906
  6. Step 6: Final answer
    x = 467,799.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.