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Finding the Third Proportional to 226,037.25 and 309,942

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Solution

The third proportional to 226,037.25 and 309,942 is: 424,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,037.25 : 309,942 = 309,942 : x
  2. Step 2: Convert to fraction form
    226,037.25/309,942 = 309,942/x
  3. Step 3: Cross multiply
    226,037.25x = 309,942 × 309,942
  4. Step 4: Simplify right side
    226,037.25x = 96,064,043,364
  5. Step 5: Solve for x
    x = 96,064,043,364/226,037.25
  6. Step 6: Final answer
    x = 424,992.09

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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.