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Finding the Third Proportional to 202,203 and 437,568.75

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Solution

The third proportional to 202,203 and 437,568.75 is: 946,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,203 : 437,568.75 = 437,568.75 : x
  2. Step 2: Convert to fraction form
    202,203/437,568.75 = 437,568.75/x
  3. Step 3: Cross multiply
    202,203x = 437,568.75 × 437,568.75
  4. Step 4: Simplify right side
    202,203x = 191,466,410,976.56
  5. Step 5: Solve for x
    x = 191,466,410,976.56/202,203
  6. Step 6: Final answer
    x = 946,901.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.