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Finding the Third Proportional to 215,256 and 335,966

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Solution

The third proportional to 215,256 and 335,966 is: 524,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,256 : 335,966 = 335,966 : x
  2. Step 2: Convert to fraction form
    215,256/335,966 = 335,966/x
  3. Step 3: Cross multiply
    215,256x = 335,966 × 335,966
  4. Step 4: Simplify right side
    215,256x = 112,873,153,156
  5. Step 5: Solve for x
    x = 112,873,153,156/215,256
  6. Step 6: Final answer
    x = 524,367.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.