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Finding the Third Proportional to 295,314.75 and 442,881

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Solution

The third proportional to 295,314.75 and 442,881 is: 664,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314.75 : 442,881 = 442,881 : x
  2. Step 2: Convert to fraction form
    295,314.75/442,881 = 442,881/x
  3. Step 3: Cross multiply
    295,314.75x = 442,881 × 442,881
  4. Step 4: Simplify right side
    295,314.75x = 196,143,580,161
  5. Step 5: Solve for x
    x = 196,143,580,161/295,314.75
  6. Step 6: Final answer
    x = 664,184.84

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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.