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Finding the Third Proportional to 206,482 and 302,899

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Solution

The third proportional to 206,482 and 302,899 is: 444,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482 : 302,899 = 302,899 : x
  2. Step 2: Convert to fraction form
    206,482/302,899 = 302,899/x
  3. Step 3: Cross multiply
    206,482x = 302,899 × 302,899
  4. Step 4: Simplify right side
    206,482x = 91,747,804,201
  5. Step 5: Solve for x
    x = 91,747,804,201/206,482
  6. Step 6: Final answer
    x = 444,338.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.