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Finding the Third Proportional to 195,282 and 406,115

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Solution

The third proportional to 195,282 and 406,115 is: 844,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,282 : 406,115 = 406,115 : x
  2. Step 2: Convert to fraction form
    195,282/406,115 = 406,115/x
  3. Step 3: Cross multiply
    195,282x = 406,115 × 406,115
  4. Step 4: Simplify right side
    195,282x = 164,929,393,225
  5. Step 5: Solve for x
    x = 164,929,393,225/195,282
  6. Step 6: Final answer
    x = 844,570.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.