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Finding the Third Proportional to 101,331 and 225,963

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Solution

The third proportional to 101,331 and 225,963 is: 503,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,331 : 225,963 = 225,963 : x
  2. Step 2: Convert to fraction form
    101,331/225,963 = 225,963/x
  3. Step 3: Cross multiply
    101,331x = 225,963 × 225,963
  4. Step 4: Simplify right side
    101,331x = 51,059,277,369
  5. Step 5: Solve for x
    x = 51,059,277,369/101,331
  6. Step 6: Final answer
    x = 503,886.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.