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Finding the Third Proportional to 113,084 and 235,471

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Solution

The third proportional to 113,084 and 235,471 is: 490,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,084 : 235,471 = 235,471 : x
  2. Step 2: Convert to fraction form
    113,084/235,471 = 235,471/x
  3. Step 3: Cross multiply
    113,084x = 235,471 × 235,471
  4. Step 4: Simplify right side
    113,084x = 55,446,591,841
  5. Step 5: Solve for x
    x = 55,446,591,841/113,084
  6. Step 6: Final answer
    x = 490,313.32

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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.