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Finding the Third Proportional to 165,518 and 350,898

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Solution

The third proportional to 165,518 and 350,898 is: 743,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,518 : 350,898 = 350,898 : x
  2. Step 2: Convert to fraction form
    165,518/350,898 = 350,898/x
  3. Step 3: Cross multiply
    165,518x = 350,898 × 350,898
  4. Step 4: Simplify right side
    165,518x = 123,129,406,404
  5. Step 5: Solve for x
    x = 123,129,406,404/165,518
  6. Step 6: Final answer
    x = 743,903.42

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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.