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Finding the Third Proportional to 150,244 and 304,636

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Solution

The third proportional to 150,244 and 304,636 is: 617,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,244 : 304,636 = 304,636 : x
  2. Step 2: Convert to fraction form
    150,244/304,636 = 304,636/x
  3. Step 3: Cross multiply
    150,244x = 304,636 × 304,636
  4. Step 4: Simplify right side
    150,244x = 92,803,092,496
  5. Step 5: Solve for x
    x = 92,803,092,496/150,244
  6. Step 6: Final answer
    x = 617,682.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.