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Finding the Third Proportional to 204,594 and 275,214.75

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Solution

The third proportional to 204,594 and 275,214.75 is: 370,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,594 : 275,214.75 = 275,214.75 : x
  2. Step 2: Convert to fraction form
    204,594/275,214.75 = 275,214.75/x
  3. Step 3: Cross multiply
    204,594x = 275,214.75 × 275,214.75
  4. Step 4: Simplify right side
    204,594x = 75,743,158,617.56
  5. Step 5: Solve for x
    x = 75,743,158,617.56/204,594
  6. Step 6: Final answer
    x = 370,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.