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Finding the Third Proportional to 201,090 and 298,902

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Solution

The third proportional to 201,090 and 298,902 is: 444,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,090 : 298,902 = 298,902 : x
  2. Step 2: Convert to fraction form
    201,090/298,902 = 298,902/x
  3. Step 3: Cross multiply
    201,090x = 298,902 × 298,902
  4. Step 4: Simplify right side
    201,090x = 89,342,405,604
  5. Step 5: Solve for x
    x = 89,342,405,604/201,090
  6. Step 6: Final answer
    x = 444,290.64

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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.