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Finding the Third Proportional to 211,917.75 and 297,002.25

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Solution

The third proportional to 211,917.75 and 297,002.25 is: 416,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,917.75 : 297,002.25 = 297,002.25 : x
  2. Step 2: Convert to fraction form
    211,917.75/297,002.25 = 297,002.25/x
  3. Step 3: Cross multiply
    211,917.75x = 297,002.25 × 297,002.25
  4. Step 4: Simplify right side
    211,917.75x = 88,210,336,505.06
  5. Step 5: Solve for x
    x = 88,210,336,505.06/211,917.75
  6. Step 6: Final answer
    x = 416,247.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.