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Finding the Third Proportional to 195,608 and 295,280

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Solution

The third proportional to 195,608 and 295,280 is: 445,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,608 : 295,280 = 295,280 : x
  2. Step 2: Convert to fraction form
    195,608/295,280 = 295,280/x
  3. Step 3: Cross multiply
    195,608x = 295,280 × 295,280
  4. Step 4: Simplify right side
    195,608x = 87,190,278,400
  5. Step 5: Solve for x
    x = 87,190,278,400/195,608
  6. Step 6: Final answer
    x = 445,739.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.