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Finding the Third Proportional to 203,489 and 299,144.50

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Solution

The third proportional to 203,489 and 299,144.50 is: 439,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489 : 299,144.50 = 299,144.50 : x
  2. Step 2: Convert to fraction form
    203,489/299,144.50 = 299,144.50/x
  3. Step 3: Cross multiply
    203,489x = 299,144.50 × 299,144.50
  4. Step 4: Simplify right side
    203,489x = 89,487,431,880.25
  5. Step 5: Solve for x
    x = 89,487,431,880.25/203,489
  6. Step 6: Final answer
    x = 439,765.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.