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Finding the Third Proportional to 140,818.50 and 288,198

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Solution

The third proportional to 140,818.50 and 288,198 is: 589,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,818.50 : 288,198 = 288,198 : x
  2. Step 2: Convert to fraction form
    140,818.50/288,198 = 288,198/x
  3. Step 3: Cross multiply
    140,818.50x = 288,198 × 288,198
  4. Step 4: Simplify right side
    140,818.50x = 83,058,087,204
  5. Step 5: Solve for x
    x = 83,058,087,204/140,818.50
  6. Step 6: Final answer
    x = 589,823.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.