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Finding the Third Proportional to 236,422 and 354,869

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Solution

The third proportional to 236,422 and 354,869 is: 532,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,422 : 354,869 = 354,869 : x
  2. Step 2: Convert to fraction form
    236,422/354,869 = 354,869/x
  3. Step 3: Cross multiply
    236,422x = 354,869 × 354,869
  4. Step 4: Simplify right side
    236,422x = 125,932,007,161
  5. Step 5: Solve for x
    x = 125,932,007,161/236,422
  6. Step 6: Final answer
    x = 532,657.74

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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.