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Finding the Third Proportional to 236,864 and 364,079

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Solution

The third proportional to 236,864 and 364,079 is: 559,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,864 : 364,079 = 364,079 : x
  2. Step 2: Convert to fraction form
    236,864/364,079 = 364,079/x
  3. Step 3: Cross multiply
    236,864x = 364,079 × 364,079
  4. Step 4: Simplify right side
    236,864x = 132,553,518,241
  5. Step 5: Solve for x
    x = 132,553,518,241/236,864
  6. Step 6: Final answer
    x = 559,618.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.