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Finding the Third Proportional to 235,117.50 and 512,193

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Solution

The third proportional to 235,117.50 and 512,193 is: 1,115,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,117.50 : 512,193 = 512,193 : x
  2. Step 2: Convert to fraction form
    235,117.50/512,193 = 512,193/x
  3. Step 3: Cross multiply
    235,117.50x = 512,193 × 512,193
  4. Step 4: Simplify right side
    235,117.50x = 262,341,669,249
  5. Step 5: Solve for x
    x = 262,341,669,249/235,117.50
  6. Step 6: Final answer
    x = 1,115,789.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.