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Finding the Third Proportional to 95,316 and 206,325

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Solution

The third proportional to 95,316 and 206,325 is: 446,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,316 : 206,325 = 206,325 : x
  2. Step 2: Convert to fraction form
    95,316/206,325 = 206,325/x
  3. Step 3: Cross multiply
    95,316x = 206,325 × 206,325
  4. Step 4: Simplify right side
    95,316x = 42,570,005,625
  5. Step 5: Solve for x
    x = 42,570,005,625/95,316
  6. Step 6: Final answer
    x = 446,619.72

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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.