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Finding the Third Proportional to 238,003.50 and 515,193

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Solution

The third proportional to 238,003.50 and 515,193 is: 1,115,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,003.50 : 515,193 = 515,193 : x
  2. Step 2: Convert to fraction form
    238,003.50/515,193 = 515,193/x
  3. Step 3: Cross multiply
    238,003.50x = 515,193 × 515,193
  4. Step 4: Simplify right side
    238,003.50x = 265,423,827,249
  5. Step 5: Solve for x
    x = 265,423,827,249/238,003.50
  6. Step 6: Final answer
    x = 1,115,209.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.