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Finding the Third Proportional to 206,886 and 301,338

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Solution

The third proportional to 206,886 and 301,338 is: 438,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886 : 301,338 = 301,338 : x
  2. Step 2: Convert to fraction form
    206,886/301,338 = 301,338/x
  3. Step 3: Cross multiply
    206,886x = 301,338 × 301,338
  4. Step 4: Simplify right side
    206,886x = 90,804,590,244
  5. Step 5: Solve for x
    x = 90,804,590,244/206,886
  6. Step 6: Final answer
    x = 438,911.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.