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Finding the Third Proportional to 254,077 and 371,571

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Solution

The third proportional to 254,077 and 371,571 is: 543,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,077 : 371,571 = 371,571 : x
  2. Step 2: Convert to fraction form
    254,077/371,571 = 371,571/x
  3. Step 3: Cross multiply
    254,077x = 371,571 × 371,571
  4. Step 4: Simplify right side
    254,077x = 138,065,008,041
  5. Step 5: Solve for x
    x = 138,065,008,041/254,077
  6. Step 6: Final answer
    x = 543,398.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.