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Finding the Third Proportional to 94,252 and 206,648

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Solution

The third proportional to 94,252 and 206,648 is: 453,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,252 : 206,648 = 206,648 : x
  2. Step 2: Convert to fraction form
    94,252/206,648 = 206,648/x
  3. Step 3: Cross multiply
    94,252x = 206,648 × 206,648
  4. Step 4: Simplify right side
    94,252x = 42,703,395,904
  5. Step 5: Solve for x
    x = 42,703,395,904/94,252
  6. Step 6: Final answer
    x = 453,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.