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Finding the Third Proportional to 202,329 and 443,205

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Solution

The third proportional to 202,329 and 443,205 is: 970,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,329 : 443,205 = 443,205 : x
  2. Step 2: Convert to fraction form
    202,329/443,205 = 443,205/x
  3. Step 3: Cross multiply
    202,329x = 443,205 × 443,205
  4. Step 4: Simplify right side
    202,329x = 196,430,672,025
  5. Step 5: Solve for x
    x = 196,430,672,025/202,329
  6. Step 6: Final answer
    x = 970,847.84

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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.