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Finding the Third Proportional to 113,229 and 235,647

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Solution

The third proportional to 113,229 and 235,647 is: 490,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,229 : 235,647 = 235,647 : x
  2. Step 2: Convert to fraction form
    113,229/235,647 = 235,647/x
  3. Step 3: Cross multiply
    113,229x = 235,647 × 235,647
  4. Step 4: Simplify right side
    113,229x = 55,529,508,609
  5. Step 5: Solve for x
    x = 55,529,508,609/113,229
  6. Step 6: Final answer
    x = 490,417.73

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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.