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Finding the Third Proportional to 227,348 and 355,857

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Solution

The third proportional to 227,348 and 355,857 is: 557,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,348 : 355,857 = 355,857 : x
  2. Step 2: Convert to fraction form
    227,348/355,857 = 355,857/x
  3. Step 3: Cross multiply
    227,348x = 355,857 × 355,857
  4. Step 4: Simplify right side
    227,348x = 126,634,204,449
  5. Step 5: Solve for x
    x = 126,634,204,449/227,348
  6. Step 6: Final answer
    x = 557,006.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.