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Finding the Third Proportional to 95,274 and 209,346

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Solution

The third proportional to 95,274 and 209,346 is: 459,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,274 : 209,346 = 209,346 : x
  2. Step 2: Convert to fraction form
    95,274/209,346 = 209,346/x
  3. Step 3: Cross multiply
    95,274x = 209,346 × 209,346
  4. Step 4: Simplify right side
    95,274x = 43,825,747,716
  5. Step 5: Solve for x
    x = 43,825,747,716/95,274
  6. Step 6: Final answer
    x = 459,996.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.