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Finding the Third Proportional to 165,519 and 350,900

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Solution

The third proportional to 165,519 and 350,900 is: 743,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,519 : 350,900 = 350,900 : x
  2. Step 2: Convert to fraction form
    165,519/350,900 = 350,900/x
  3. Step 3: Cross multiply
    165,519x = 350,900 × 350,900
  4. Step 4: Simplify right side
    165,519x = 123,130,810,000
  5. Step 5: Solve for x
    x = 123,130,810,000/165,519
  6. Step 6: Final answer
    x = 743,907.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.