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Finding the Third Proportional to 105,634 and 234,885

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Solution

The third proportional to 105,634 and 234,885 is: 522,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,634 : 234,885 = 234,885 : x
  2. Step 2: Convert to fraction form
    105,634/234,885 = 234,885/x
  3. Step 3: Cross multiply
    105,634x = 234,885 × 234,885
  4. Step 4: Simplify right side
    105,634x = 55,170,963,225
  5. Step 5: Solve for x
    x = 55,170,963,225/105,634
  6. Step 6: Final answer
    x = 522,284.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.