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Finding the Third Proportional to 202,537 and 443,199

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Solution

The third proportional to 202,537 and 443,199 is: 969,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,537 : 443,199 = 443,199 : x
  2. Step 2: Convert to fraction form
    202,537/443,199 = 443,199/x
  3. Step 3: Cross multiply
    202,537x = 443,199 × 443,199
  4. Step 4: Simplify right side
    202,537x = 196,425,353,601
  5. Step 5: Solve for x
    x = 196,425,353,601/202,537
  6. Step 6: Final answer
    x = 969,824.54

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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.