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Finding the Third Proportional to 253,694.25 and 545,661

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Solution

The third proportional to 253,694.25 and 545,661 is: 1,173,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694.25 : 545,661 = 545,661 : x
  2. Step 2: Convert to fraction form
    253,694.25/545,661 = 545,661/x
  3. Step 3: Cross multiply
    253,694.25x = 545,661 × 545,661
  4. Step 4: Simplify right side
    253,694.25x = 297,745,926,921
  5. Step 5: Solve for x
    x = 297,745,926,921/253,694.25
  6. Step 6: Final answer
    x = 1,173,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.