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Finding the Third Proportional to 236,415 and 354,866

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Solution

The third proportional to 236,415 and 354,866 is: 532,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,415 : 354,866 = 354,866 : x
  2. Step 2: Convert to fraction form
    236,415/354,866 = 354,866/x
  3. Step 3: Cross multiply
    236,415x = 354,866 × 354,866
  4. Step 4: Simplify right side
    236,415x = 125,929,877,956
  5. Step 5: Solve for x
    x = 125,929,877,956/236,415
  6. Step 6: Final answer
    x = 532,664.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.