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Finding the Third Proportional to 113,474 and 265,049

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Solution

The third proportional to 113,474 and 265,049 is: 619,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,474 : 265,049 = 265,049 : x
  2. Step 2: Convert to fraction form
    113,474/265,049 = 265,049/x
  3. Step 3: Cross multiply
    113,474x = 265,049 × 265,049
  4. Step 4: Simplify right side
    113,474x = 70,250,972,401
  5. Step 5: Solve for x
    x = 70,250,972,401/113,474
  6. Step 6: Final answer
    x = 619,093.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.