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Finding the Third Proportional to 109,836 and 232,551

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Solution

The third proportional to 109,836 and 232,551 is: 492,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836 : 232,551 = 232,551 : x
  2. Step 2: Convert to fraction form
    109,836/232,551 = 232,551/x
  3. Step 3: Cross multiply
    109,836x = 232,551 × 232,551
  4. Step 4: Simplify right side
    109,836x = 54,079,967,601
  5. Step 5: Solve for x
    x = 54,079,967,601/109,836
  6. Step 6: Final answer
    x = 492,370.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.