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Finding the Third Proportional to 203,571 and 299,274

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Solution

The third proportional to 203,571 and 299,274 is: 439,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,571 : 299,274 = 299,274 : x
  2. Step 2: Convert to fraction form
    203,571/299,274 = 299,274/x
  3. Step 3: Cross multiply
    203,571x = 299,274 × 299,274
  4. Step 4: Simplify right side
    203,571x = 89,564,927,076
  5. Step 5: Solve for x
    x = 89,564,927,076/203,571
  6. Step 6: Final answer
    x = 439,968.99

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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.