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Finding the Third Proportional to 203,691 and 299,299

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Solution

The third proportional to 203,691 and 299,299 is: 439,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,691 : 299,299 = 299,299 : x
  2. Step 2: Convert to fraction form
    203,691/299,299 = 299,299/x
  3. Step 3: Cross multiply
    203,691x = 299,299 × 299,299
  4. Step 4: Simplify right side
    203,691x = 89,579,891,401
  5. Step 5: Solve for x
    x = 89,579,891,401/203,691
  6. Step 6: Final answer
    x = 439,783.26

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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.