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Finding the Third Proportional to 238,135.50 and 362,786.25

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Solution

The third proportional to 238,135.50 and 362,786.25 is: 552,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,135.50 : 362,786.25 = 362,786.25 : x
  2. Step 2: Convert to fraction form
    238,135.50/362,786.25 = 362,786.25/x
  3. Step 3: Cross multiply
    238,135.50x = 362,786.25 × 362,786.25
  4. Step 4: Simplify right side
    238,135.50x = 131,613,863,189.06
  5. Step 5: Solve for x
    x = 131,613,863,189.06/238,135.50
  6. Step 6: Final answer
    x = 552,684.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.