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Finding the Third Proportional to 192,111 and 308,670

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Solution

The third proportional to 192,111 and 308,670 is: 495,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,111 : 308,670 = 308,670 : x
  2. Step 2: Convert to fraction form
    192,111/308,670 = 308,670/x
  3. Step 3: Cross multiply
    192,111x = 308,670 × 308,670
  4. Step 4: Simplify right side
    192,111x = 95,277,168,900
  5. Step 5: Solve for x
    x = 95,277,168,900/192,111
  6. Step 6: Final answer
    x = 495,948.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.