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Finding the Third Proportional to 202,741 and 292,042

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Solution

The third proportional to 202,741 and 292,042 is: 420,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741 : 292,042 = 292,042 : x
  2. Step 2: Convert to fraction form
    202,741/292,042 = 292,042/x
  3. Step 3: Cross multiply
    202,741x = 292,042 × 292,042
  4. Step 4: Simplify right side
    202,741x = 85,288,529,764
  5. Step 5: Solve for x
    x = 85,288,529,764/202,741
  6. Step 6: Final answer
    x = 420,677.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.