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Finding the Third Proportional to 254,129.25 and 529,311

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Solution

The third proportional to 254,129.25 and 529,311 is: 1,102,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,129.25 : 529,311 = 529,311 : x
  2. Step 2: Convert to fraction form
    254,129.25/529,311 = 529,311/x
  3. Step 3: Cross multiply
    254,129.25x = 529,311 × 529,311
  4. Step 4: Simplify right side
    254,129.25x = 280,170,134,721
  5. Step 5: Solve for x
    x = 280,170,134,721/254,129.25
  6. Step 6: Final answer
    x = 1,102,471.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.