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Finding the Third Proportional to 194,882 and 420,850

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Solution

The third proportional to 194,882 and 420,850 is: 908,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,882 : 420,850 = 420,850 : x
  2. Step 2: Convert to fraction form
    194,882/420,850 = 420,850/x
  3. Step 3: Cross multiply
    194,882x = 420,850 × 420,850
  4. Step 4: Simplify right side
    194,882x = 177,114,722,500
  5. Step 5: Solve for x
    x = 177,114,722,500/194,882
  6. Step 6: Final answer
    x = 908,830.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.