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Finding the Third Proportional to 133,073 and 288,299

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Solution

The third proportional to 133,073 and 288,299 is: 624,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073 : 288,299 = 288,299 : x
  2. Step 2: Convert to fraction form
    133,073/288,299 = 288,299/x
  3. Step 3: Cross multiply
    133,073x = 288,299 × 288,299
  4. Step 4: Simplify right side
    133,073x = 83,116,313,401
  5. Step 5: Solve for x
    x = 83,116,313,401/133,073
  6. Step 6: Final answer
    x = 624,591.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.