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Finding the Third Proportional to 208,858.50 and 263,533.50

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Solution

The third proportional to 208,858.50 and 263,533.50 is: 332,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.50 : 263,533.50 = 263,533.50 : x
  2. Step 2: Convert to fraction form
    208,858.50/263,533.50 = 263,533.50/x
  3. Step 3: Cross multiply
    208,858.50x = 263,533.50 × 263,533.50
  4. Step 4: Simplify right side
    208,858.50x = 69,449,905,622.25
  5. Step 5: Solve for x
    x = 69,449,905,622.25/208,858.50
  6. Step 6: Final answer
    x = 332,521.33

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.