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Finding the Third Proportional to 113,058 and 235,419.75

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Solution

The third proportional to 113,058 and 235,419.75 is: 490,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,058 : 235,419.75 = 235,419.75 : x
  2. Step 2: Convert to fraction form
    113,058/235,419.75 = 235,419.75/x
  3. Step 3: Cross multiply
    113,058x = 235,419.75 × 235,419.75
  4. Step 4: Simplify right side
    113,058x = 55,422,458,690.06
  5. Step 5: Solve for x
    x = 55,422,458,690.06/113,058
  6. Step 6: Final answer
    x = 490,212.62

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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.