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Finding the Third Proportional to 236,885 and 364,088

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Solution

The third proportional to 236,885 and 364,088 is: 559,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,885 : 364,088 = 364,088 : x
  2. Step 2: Convert to fraction form
    236,885/364,088 = 364,088/x
  3. Step 3: Cross multiply
    236,885x = 364,088 × 364,088
  4. Step 4: Simplify right side
    236,885x = 132,560,071,744
  5. Step 5: Solve for x
    x = 132,560,071,744/236,885
  6. Step 6: Final answer
    x = 559,596.73

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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.