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Finding the Third Proportional to 95,314 and 206,318

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Solution

The third proportional to 95,314 and 206,318 is: 446,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,314 : 206,318 = 206,318 : x
  2. Step 2: Convert to fraction form
    95,314/206,318 = 206,318/x
  3. Step 3: Cross multiply
    95,314x = 206,318 × 206,318
  4. Step 4: Simplify right side
    95,314x = 42,567,117,124
  5. Step 5: Solve for x
    x = 42,567,117,124/95,314
  6. Step 6: Final answer
    x = 446,598.79

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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.