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Finding the Third Proportional to 113,199.75 and 235,701.56

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Solution

The third proportional to 113,199.75 and 235,701.56 is: 490,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,199.75 : 235,701.56 = 235,701.56 : x
  2. Step 2: Convert to fraction form
    113,199.75/235,701.56 = 235,701.56/x
  3. Step 3: Cross multiply
    113,199.75x = 235,701.56 × 235,701.56
  4. Step 4: Simplify right side
    113,199.75x = 55,555,226,564.94
  5. Step 5: Solve for x
    x = 55,555,226,564.94/113,199.75
  6. Step 6: Final answer
    x = 490,771.64

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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.