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Finding the Third Proportional to 236,794 and 362,239.50

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Solution

The third proportional to 236,794 and 362,239.50 is: 554,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,794 : 362,239.50 = 362,239.50 : x
  2. Step 2: Convert to fraction form
    236,794/362,239.50 = 362,239.50/x
  3. Step 3: Cross multiply
    236,794x = 362,239.50 × 362,239.50
  4. Step 4: Simplify right side
    236,794x = 131,217,455,360.25
  5. Step 5: Solve for x
    x = 131,217,455,360.25/236,794
  6. Step 6: Final answer
    x = 554,141.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.