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Finding the Third Proportional to 201,094 and 298,906

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Solution

The third proportional to 201,094 and 298,906 is: 444,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,094 : 298,906 = 298,906 : x
  2. Step 2: Convert to fraction form
    201,094/298,906 = 298,906/x
  3. Step 3: Cross multiply
    201,094x = 298,906 × 298,906
  4. Step 4: Simplify right side
    201,094x = 89,344,796,836
  5. Step 5: Solve for x
    x = 89,344,796,836/201,094
  6. Step 6: Final answer
    x = 444,293.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.