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Finding the Third Proportional to 211,799.25 and 466,245

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Solution

The third proportional to 211,799.25 and 466,245 is: 1,026,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,799.25 : 466,245 = 466,245 : x
  2. Step 2: Convert to fraction form
    211,799.25/466,245 = 466,245/x
  3. Step 3: Cross multiply
    211,799.25x = 466,245 × 466,245
  4. Step 4: Simplify right side
    211,799.25x = 217,384,400,025
  5. Step 5: Solve for x
    x = 217,384,400,025/211,799.25
  6. Step 6: Final answer
    x = 1,026,370.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.