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Finding the Third Proportional to 224,067 and 354,966

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Solution

The third proportional to 224,067 and 354,966 is: 562,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,067 : 354,966 = 354,966 : x
  2. Step 2: Convert to fraction form
    224,067/354,966 = 354,966/x
  3. Step 3: Cross multiply
    224,067x = 354,966 × 354,966
  4. Step 4: Simplify right side
    224,067x = 126,000,861,156
  5. Step 5: Solve for x
    x = 126,000,861,156/224,067
  6. Step 6: Final answer
    x = 562,335.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.