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Finding the Third Proportional to 113,193 and 235,687

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Solution

The third proportional to 113,193 and 235,687 is: 490,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,193 : 235,687 = 235,687 : x
  2. Step 2: Convert to fraction form
    113,193/235,687 = 235,687/x
  3. Step 3: Cross multiply
    113,193x = 235,687 × 235,687
  4. Step 4: Simplify right side
    113,193x = 55,548,361,969
  5. Step 5: Solve for x
    x = 55,548,361,969/113,193
  6. Step 6: Final answer
    x = 490,740.26

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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.