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Finding the Third Proportional to 202,847.63 and 433,836.42

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Solution

The third proportional to 202,847.63 and 433,836.42 is: 927,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,847.63 : 433,836.42 = 433,836.42 : x
  2. Step 2: Convert to fraction form
    202,847.63/433,836.42 = 433,836.42/x
  3. Step 3: Cross multiply
    202,847.63x = 433,836.42 × 433,836.42
  4. Step 4: Simplify right side
    202,847.63x = 188,214,040,945.30
  5. Step 5: Solve for x
    x = 188,214,040,945.30/202,847.63
  6. Step 6: Final answer
    x = 927,859.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.