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Finding the Third Proportional to 162,744 and 236,652

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Solution

The third proportional to 162,744 and 236,652 is: 344,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,744 : 236,652 = 236,652 : x
  2. Step 2: Convert to fraction form
    162,744/236,652 = 236,652/x
  3. Step 3: Cross multiply
    162,744x = 236,652 × 236,652
  4. Step 4: Simplify right side
    162,744x = 56,004,169,104
  5. Step 5: Solve for x
    x = 56,004,169,104/162,744
  6. Step 6: Final answer
    x = 344,124.32

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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.