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Finding the Third Proportional to 250,697.25 and 388,353.94

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Solution

The third proportional to 250,697.25 and 388,353.94 is: 601,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,697.25 : 388,353.94 = 388,353.94 : x
  2. Step 2: Convert to fraction form
    250,697.25/388,353.94 = 388,353.94/x
  3. Step 3: Cross multiply
    250,697.25x = 388,353.94 × 388,353.94
  4. Step 4: Simplify right side
    250,697.25x = 150,818,780,771.75
  5. Step 5: Solve for x
    x = 150,818,780,771.75/250,697.25
  6. Step 6: Final answer
    x = 601,597.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.