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Finding the Third Proportional to 192,842 and 415,318

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Solution

The third proportional to 192,842 and 415,318 is: 894,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,842 : 415,318 = 415,318 : x
  2. Step 2: Convert to fraction form
    192,842/415,318 = 415,318/x
  3. Step 3: Cross multiply
    192,842x = 415,318 × 415,318
  4. Step 4: Simplify right side
    192,842x = 172,489,041,124
  5. Step 5: Solve for x
    x = 172,489,041,124/192,842
  6. Step 6: Final answer
    x = 894,457.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.