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Finding the Third Proportional to 201,905 and 298,954

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Solution

The third proportional to 201,905 and 298,954 is: 442,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 298,954 = 298,954 : x
  2. Step 2: Convert to fraction form
    201,905/298,954 = 298,954/x
  3. Step 3: Cross multiply
    201,905x = 298,954 × 298,954
  4. Step 4: Simplify right side
    201,905x = 89,373,494,116
  5. Step 5: Solve for x
    x = 89,373,494,116/201,905
  6. Step 6: Final answer
    x = 442,651.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.