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Finding the Third Proportional to 161,436 and 330,000

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Solution

The third proportional to 161,436 and 330,000 is: 674,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,436 : 330,000 = 330,000 : x
  2. Step 2: Convert to fraction form
    161,436/330,000 = 330,000/x
  3. Step 3: Cross multiply
    161,436x = 330,000 × 330,000
  4. Step 4: Simplify right side
    161,436x = 108,900,000,000
  5. Step 5: Solve for x
    x = 108,900,000,000/161,436
  6. Step 6: Final answer
    x = 674,570.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.