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Finding the Third Proportional to 202,540.50 and 443,961

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Solution

The third proportional to 202,540.50 and 443,961 is: 973,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.50 : 443,961 = 443,961 : x
  2. Step 2: Convert to fraction form
    202,540.50/443,961 = 443,961/x
  3. Step 3: Cross multiply
    202,540.50x = 443,961 × 443,961
  4. Step 4: Simplify right side
    202,540.50x = 197,101,369,521
  5. Step 5: Solve for x
    x = 197,101,369,521/202,540.50
  6. Step 6: Final answer
    x = 973,145.47

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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.