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Finding the Third Proportional to 211,470.75 and 445,115.25

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Solution

The third proportional to 211,470.75 and 445,115.25 is: 936,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470.75 : 445,115.25 = 445,115.25 : x
  2. Step 2: Convert to fraction form
    211,470.75/445,115.25 = 445,115.25/x
  3. Step 3: Cross multiply
    211,470.75x = 445,115.25 × 445,115.25
  4. Step 4: Simplify right side
    211,470.75x = 198,127,585,782.56
  5. Step 5: Solve for x
    x = 198,127,585,782.56/211,470.75
  6. Step 6: Final answer
    x = 936,903.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.