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Finding the Third Proportional to 195,399 and 406,350

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Solution

The third proportional to 195,399 and 406,350 is: 845,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,399 : 406,350 = 406,350 : x
  2. Step 2: Convert to fraction form
    195,399/406,350 = 406,350/x
  3. Step 3: Cross multiply
    195,399x = 406,350 × 406,350
  4. Step 4: Simplify right side
    195,399x = 165,120,322,500
  5. Step 5: Solve for x
    x = 165,120,322,500/195,399
  6. Step 6: Final answer
    x = 845,041.80

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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.