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Finding the Third Proportional to 164,664 and 236,628

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Solution

The third proportional to 164,664 and 236,628 is: 340,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,664 : 236,628 = 236,628 : x
  2. Step 2: Convert to fraction form
    164,664/236,628 = 236,628/x
  3. Step 3: Cross multiply
    164,664x = 236,628 × 236,628
  4. Step 4: Simplify right side
    164,664x = 55,992,810,384
  5. Step 5: Solve for x
    x = 55,992,810,384/164,664
  6. Step 6: Final answer
    x = 340,042.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.