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Finding the Third Proportional to 113,634 and 234,558

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Solution

The third proportional to 113,634 and 234,558 is: 484,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,634 : 234,558 = 234,558 : x
  2. Step 2: Convert to fraction form
    113,634/234,558 = 234,558/x
  3. Step 3: Cross multiply
    113,634x = 234,558 × 234,558
  4. Step 4: Simplify right side
    113,634x = 55,017,455,364
  5. Step 5: Solve for x
    x = 55,017,455,364/113,634
  6. Step 6: Final answer
    x = 484,163.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.