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Finding the Third Proportional to 152,923 and 236,206

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Solution

The third proportional to 152,923 and 236,206 is: 364,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,923 : 236,206 = 236,206 : x
  2. Step 2: Convert to fraction form
    152,923/236,206 = 236,206/x
  3. Step 3: Cross multiply
    152,923x = 236,206 × 236,206
  4. Step 4: Simplify right side
    152,923x = 55,793,274,436
  5. Step 5: Solve for x
    x = 55,793,274,436/152,923
  6. Step 6: Final answer
    x = 364,845.54

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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.