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Finding the Third Proportional to 206,876.53 and 277,458.54

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Solution

The third proportional to 206,876.53 and 277,458.54 is: 372,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.53 : 277,458.54 = 277,458.54 : x
  2. Step 2: Convert to fraction form
    206,876.53/277,458.54 = 277,458.54/x
  3. Step 3: Cross multiply
    206,876.53x = 277,458.54 × 277,458.54
  4. Step 4: Simplify right side
    206,876.53x = 76,983,240,898.70
  5. Step 5: Solve for x
    x = 76,983,240,898.70/206,876.53
  6. Step 6: Final answer
    x = 372,121.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.