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Finding the Third Proportional to 162,653 and 236,568

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Solution

The third proportional to 162,653 and 236,568 is: 344,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,653 : 236,568 = 236,568 : x
  2. Step 2: Convert to fraction form
    162,653/236,568 = 236,568/x
  3. Step 3: Cross multiply
    162,653x = 236,568 × 236,568
  4. Step 4: Simplify right side
    162,653x = 55,964,418,624
  5. Step 5: Solve for x
    x = 55,964,418,624/162,653
  6. Step 6: Final answer
    x = 344,072.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.