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Finding the Third Proportional to 236,414 and 354,864

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Solution

The third proportional to 236,414 and 354,864 is: 532,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,414 : 354,864 = 354,864 : x
  2. Step 2: Convert to fraction form
    236,414/354,864 = 354,864/x
  3. Step 3: Cross multiply
    236,414x = 354,864 × 354,864
  4. Step 4: Simplify right side
    236,414x = 125,928,458,496
  5. Step 5: Solve for x
    x = 125,928,458,496/236,414
  6. Step 6: Final answer
    x = 532,660.75

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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.