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Finding the Third Proportional to 254,112 and 395,676

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Solution

The third proportional to 254,112 and 395,676 is: 616,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,112 : 395,676 = 395,676 : x
  2. Step 2: Convert to fraction form
    254,112/395,676 = 395,676/x
  3. Step 3: Cross multiply
    254,112x = 395,676 × 395,676
  4. Step 4: Simplify right side
    254,112x = 156,559,496,976
  5. Step 5: Solve for x
    x = 156,559,496,976/254,112
  6. Step 6: Final answer
    x = 616,104.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.