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Finding the Third Proportional to 236,869 and 364,086

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Solution

The third proportional to 236,869 and 364,086 is: 559,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,869 : 364,086 = 364,086 : x
  2. Step 2: Convert to fraction form
    236,869/364,086 = 364,086/x
  3. Step 3: Cross multiply
    236,869x = 364,086 × 364,086
  4. Step 4: Simplify right side
    236,869x = 132,558,615,396
  5. Step 5: Solve for x
    x = 132,558,615,396/236,869
  6. Step 6: Final answer
    x = 559,628.38

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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.