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Finding the Third Proportional to 204,150.38 and 468,579.94

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Solution

The third proportional to 204,150.38 and 468,579.94 is: 1,075,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,150.38 : 468,579.94 = 468,579.94 : x
  2. Step 2: Convert to fraction form
    204,150.38/468,579.94 = 468,579.94/x
  3. Step 3: Cross multiply
    204,150.38x = 468,579.94 × 468,579.94
  4. Step 4: Simplify right side
    204,150.38x = 219,567,157,827.50
  5. Step 5: Solve for x
    x = 219,567,157,827.50/204,150.38
  6. Step 6: Final answer
    x = 1,075,516.80

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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.