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Finding the Third Proportional to 94,692 and 206,330

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Solution

The third proportional to 94,692 and 206,330 is: 449,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,692 : 206,330 = 206,330 : x
  2. Step 2: Convert to fraction form
    94,692/206,330 = 206,330/x
  3. Step 3: Cross multiply
    94,692x = 206,330 × 206,330
  4. Step 4: Simplify right side
    94,692x = 42,572,068,900
  5. Step 5: Solve for x
    x = 42,572,068,900/94,692
  6. Step 6: Final answer
    x = 449,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.