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Finding the Third Proportional to 200,336 and 408,093

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Solution

The third proportional to 200,336 and 408,093 is: 831,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,336 : 408,093 = 408,093 : x
  2. Step 2: Convert to fraction form
    200,336/408,093 = 408,093/x
  3. Step 3: Cross multiply
    200,336x = 408,093 × 408,093
  4. Step 4: Simplify right side
    200,336x = 166,539,896,649
  5. Step 5: Solve for x
    x = 166,539,896,649/200,336
  6. Step 6: Final answer
    x = 831,302.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.