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Finding the Third Proportional to 170,856 and 254,884

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Solution

The third proportional to 170,856 and 254,884 is: 380,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,856 : 254,884 = 254,884 : x
  2. Step 2: Convert to fraction form
    170,856/254,884 = 254,884/x
  3. Step 3: Cross multiply
    170,856x = 254,884 × 254,884
  4. Step 4: Simplify right side
    170,856x = 64,965,853,456
  5. Step 5: Solve for x
    x = 64,965,853,456/170,856
  6. Step 6: Final answer
    x = 380,237.47

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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.