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Finding the Third Proportional to 170,847 and 254,883

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Solution

The third proportional to 170,847 and 254,883 is: 380,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,847 : 254,883 = 254,883 : x
  2. Step 2: Convert to fraction form
    170,847/254,883 = 254,883/x
  3. Step 3: Cross multiply
    170,847x = 254,883 × 254,883
  4. Step 4: Simplify right side
    170,847x = 64,965,343,689
  5. Step 5: Solve for x
    x = 64,965,343,689/170,847
  6. Step 6: Final answer
    x = 380,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.