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Finding the Third Proportional to 208,900 and 428,860

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Solution

The third proportional to 208,900 and 428,860 is: 880,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,900 : 428,860 = 428,860 : x
  2. Step 2: Convert to fraction form
    208,900/428,860 = 428,860/x
  3. Step 3: Cross multiply
    208,900x = 428,860 × 428,860
  4. Step 4: Simplify right side
    208,900x = 183,920,899,600
  5. Step 5: Solve for x
    x = 183,920,899,600/208,900
  6. Step 6: Final answer
    x = 880,425.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.