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Finding the Third Proportional to 113,668 and 236,600

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Solution

The third proportional to 113,668 and 236,600 is: 492,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,668 : 236,600 = 236,600 : x
  2. Step 2: Convert to fraction form
    113,668/236,600 = 236,600/x
  3. Step 3: Cross multiply
    113,668x = 236,600 × 236,600
  4. Step 4: Simplify right side
    113,668x = 55,979,560,000
  5. Step 5: Solve for x
    x = 55,979,560,000/113,668
  6. Step 6: Final answer
    x = 492,483.02

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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.