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Finding the Third Proportional to 236,805 and 362,256

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Solution

The third proportional to 236,805 and 362,256 is: 554,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,805 : 362,256 = 362,256 : x
  2. Step 2: Convert to fraction form
    236,805/362,256 = 362,256/x
  3. Step 3: Cross multiply
    236,805x = 362,256 × 362,256
  4. Step 4: Simplify right side
    236,805x = 131,229,409,536
  5. Step 5: Solve for x
    x = 131,229,409,536/236,805
  6. Step 6: Final answer
    x = 554,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.