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Finding the Third Proportional to 295,194 and 442,845

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Solution

The third proportional to 295,194 and 442,845 is: 664,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,194 : 442,845 = 442,845 : x
  2. Step 2: Convert to fraction form
    295,194/442,845 = 442,845/x
  3. Step 3: Cross multiply
    295,194x = 442,845 × 442,845
  4. Step 4: Simplify right side
    295,194x = 196,111,694,025
  5. Step 5: Solve for x
    x = 196,111,694,025/295,194
  6. Step 6: Final answer
    x = 664,348.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.