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Finding the Third Proportional to 226,941.75 and 301,042.13

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Solution

The third proportional to 226,941.75 and 301,042.13 is: 399,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,941.75 : 301,042.13 = 301,042.13 : x
  2. Step 2: Convert to fraction form
    226,941.75/301,042.13 = 301,042.13/x
  3. Step 3: Cross multiply
    226,941.75x = 301,042.13 × 301,042.13
  4. Step 4: Simplify right side
    226,941.75x = 90,626,361,024.52
  5. Step 5: Solve for x
    x = 90,626,361,024.52/226,941.75
  6. Step 6: Final answer
    x = 399,337.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.