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Finding the Third Proportional to 204,198 and 468,688.50

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Solution

The third proportional to 204,198 and 468,688.50 is: 1,075,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,198 : 468,688.50 = 468,688.50 : x
  2. Step 2: Convert to fraction form
    204,198/468,688.50 = 468,688.50/x
  3. Step 3: Cross multiply
    204,198x = 468,688.50 × 468,688.50
  4. Step 4: Simplify right side
    204,198x = 219,668,910,032.25
  5. Step 5: Solve for x
    x = 219,668,910,032.25/204,198
  6. Step 6: Final answer
    x = 1,075,764.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.