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Finding the Third Proportional to 203,569 and 299,271

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Solution

The third proportional to 203,569 and 299,271 is: 439,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,569 : 299,271 = 299,271 : x
  2. Step 2: Convert to fraction form
    203,569/299,271 = 299,271/x
  3. Step 3: Cross multiply
    203,569x = 299,271 × 299,271
  4. Step 4: Simplify right side
    203,569x = 89,563,131,441
  5. Step 5: Solve for x
    x = 89,563,131,441/203,569
  6. Step 6: Final answer
    x = 439,964.49

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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.