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Finding the Third Proportional to 199,523.25 and 430,697.25

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Solution

The third proportional to 199,523.25 and 430,697.25 is: 929,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,523.25 : 430,697.25 = 430,697.25 : x
  2. Step 2: Convert to fraction form
    199,523.25/430,697.25 = 430,697.25/x
  3. Step 3: Cross multiply
    199,523.25x = 430,697.25 × 430,697.25
  4. Step 4: Simplify right side
    199,523.25x = 185,500,121,157.56
  5. Step 5: Solve for x
    x = 185,500,121,157.56/199,523.25
  6. Step 6: Final answer
    x = 929,716.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.