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Finding the Third Proportional to 201,941 and 443,050

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Solution

The third proportional to 201,941 and 443,050 is: 972,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941 : 443,050 = 443,050 : x
  2. Step 2: Convert to fraction form
    201,941/443,050 = 443,050/x
  3. Step 3: Cross multiply
    201,941x = 443,050 × 443,050
  4. Step 4: Simplify right side
    201,941x = 196,293,302,500
  5. Step 5: Solve for x
    x = 196,293,302,500/201,941
  6. Step 6: Final answer
    x = 972,032.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.