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Finding the Third Proportional to 192,000.38 and 263,670.19

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Solution

The third proportional to 192,000.38 and 263,670.19 is: 362,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.38 : 263,670.19 = 263,670.19 : x
  2. Step 2: Convert to fraction form
    192,000.38/263,670.19 = 263,670.19/x
  3. Step 3: Cross multiply
    192,000.38x = 263,670.19 × 263,670.19
  4. Step 4: Simplify right side
    192,000.38x = 69,521,967,776.29
  5. Step 5: Solve for x
    x = 69,521,967,776.29/192,000.38
  6. Step 6: Final answer
    x = 362,092.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.