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Finding the Third Proportional to 225,946 and 331,367

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Solution

The third proportional to 225,946 and 331,367 is: 485,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,946 : 331,367 = 331,367 : x
  2. Step 2: Convert to fraction form
    225,946/331,367 = 331,367/x
  3. Step 3: Cross multiply
    225,946x = 331,367 × 331,367
  4. Step 4: Simplify right side
    225,946x = 109,804,088,689
  5. Step 5: Solve for x
    x = 109,804,088,689/225,946
  6. Step 6: Final answer
    x = 485,974.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.