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Finding the Third Proportional to 215,599.50 and 246,738

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Solution

The third proportional to 215,599.50 and 246,738 is: 282,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,599.50 : 246,738 = 246,738 : x
  2. Step 2: Convert to fraction form
    215,599.50/246,738 = 246,738/x
  3. Step 3: Cross multiply
    215,599.50x = 246,738 × 246,738
  4. Step 4: Simplify right side
    215,599.50x = 60,879,640,644
  5. Step 5: Solve for x
    x = 60,879,640,644/215,599.50
  6. Step 6: Final answer
    x = 282,373.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.