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Finding the Third Proportional to 209,006 and 318,399

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Solution

The third proportional to 209,006 and 318,399 is: 485,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,006 : 318,399 = 318,399 : x
  2. Step 2: Convert to fraction form
    209,006/318,399 = 318,399/x
  3. Step 3: Cross multiply
    209,006x = 318,399 × 318,399
  4. Step 4: Simplify right side
    209,006x = 101,377,923,201
  5. Step 5: Solve for x
    x = 101,377,923,201/209,006
  6. Step 6: Final answer
    x = 485,047.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.