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Finding the Third Proportional to 202,536 and 468,879.75

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Solution

The third proportional to 202,536 and 468,879.75 is: 1,085,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,536 : 468,879.75 = 468,879.75 : x
  2. Step 2: Convert to fraction form
    202,536/468,879.75 = 468,879.75/x
  3. Step 3: Cross multiply
    202,536x = 468,879.75 × 468,879.75
  4. Step 4: Simplify right side
    202,536x = 219,848,219,960.06
  5. Step 5: Solve for x
    x = 219,848,219,960.06/202,536
  6. Step 6: Final answer
    x = 1,085,477.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.