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Finding the Third Proportional to 295,327.50 and 442,895

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Solution

The third proportional to 295,327.50 and 442,895 is: 664,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,327.50 : 442,895 = 442,895 : x
  2. Step 2: Convert to fraction form
    295,327.50/442,895 = 442,895/x
  3. Step 3: Cross multiply
    295,327.50x = 442,895 × 442,895
  4. Step 4: Simplify right side
    295,327.50x = 196,155,981,025
  5. Step 5: Solve for x
    x = 196,155,981,025/295,327.50
  6. Step 6: Final answer
    x = 664,198.16

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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.