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Finding the Third Proportional to 113,186.25 and 235,674

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Solution

The third proportional to 113,186.25 and 235,674 is: 490,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,186.25 : 235,674 = 235,674 : x
  2. Step 2: Convert to fraction form
    113,186.25/235,674 = 235,674/x
  3. Step 3: Cross multiply
    113,186.25x = 235,674 × 235,674
  4. Step 4: Simplify right side
    113,186.25x = 55,542,234,276
  5. Step 5: Solve for x
    x = 55,542,234,276/113,186.25
  6. Step 6: Final answer
    x = 490,715.39

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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.