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Finding the Third Proportional to 225,760 and 331,656

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Solution

The third proportional to 225,760 and 331,656 is: 487,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,760 : 331,656 = 331,656 : x
  2. Step 2: Convert to fraction form
    225,760/331,656 = 331,656/x
  3. Step 3: Cross multiply
    225,760x = 331,656 × 331,656
  4. Step 4: Simplify right side
    225,760x = 109,995,702,336
  5. Step 5: Solve for x
    x = 109,995,702,336/225,760
  6. Step 6: Final answer
    x = 487,224.05

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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.