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Finding the Third Proportional to 225,893 and 331,295

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Solution

The third proportional to 225,893 and 331,295 is: 485,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,893 : 331,295 = 331,295 : x
  2. Step 2: Convert to fraction form
    225,893/331,295 = 331,295/x
  3. Step 3: Cross multiply
    225,893x = 331,295 × 331,295
  4. Step 4: Simplify right side
    225,893x = 109,756,377,025
  5. Step 5: Solve for x
    x = 109,756,377,025/225,893
  6. Step 6: Final answer
    x = 485,877.73

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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.