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Finding the Third Proportional to 236,448 and 345,864

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Solution

The third proportional to 236,448 and 345,864 is: 505,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,448 : 345,864 = 345,864 : x
  2. Step 2: Convert to fraction form
    236,448/345,864 = 345,864/x
  3. Step 3: Cross multiply
    236,448x = 345,864 × 345,864
  4. Step 4: Simplify right side
    236,448x = 119,621,906,496
  5. Step 5: Solve for x
    x = 119,621,906,496/236,448
  6. Step 6: Final answer
    x = 505,912.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.