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Finding the Third Proportional to 193,676 and 264,042

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Solution

The third proportional to 193,676 and 264,042 is: 359,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,676 : 264,042 = 264,042 : x
  2. Step 2: Convert to fraction form
    193,676/264,042 = 264,042/x
  3. Step 3: Cross multiply
    193,676x = 264,042 × 264,042
  4. Step 4: Simplify right side
    193,676x = 69,718,177,764
  5. Step 5: Solve for x
    x = 69,718,177,764/193,676
  6. Step 6: Final answer
    x = 359,973.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.