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Finding the Third Proportional to 113,733 and 247,635

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Solution

The third proportional to 113,733 and 247,635 is: 539,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,733 : 247,635 = 247,635 : x
  2. Step 2: Convert to fraction form
    113,733/247,635 = 247,635/x
  3. Step 3: Cross multiply
    113,733x = 247,635 × 247,635
  4. Step 4: Simplify right side
    113,733x = 61,323,093,225
  5. Step 5: Solve for x
    x = 61,323,093,225/113,733
  6. Step 6: Final answer
    x = 539,184.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.