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Finding the Third Proportional to 201,998 and 443,344

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Solution

The third proportional to 201,998 and 443,344 is: 973,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998 : 443,344 = 443,344 : x
  2. Step 2: Convert to fraction form
    201,998/443,344 = 443,344/x
  3. Step 3: Cross multiply
    201,998x = 443,344 × 443,344
  4. Step 4: Simplify right side
    201,998x = 196,553,902,336
  5. Step 5: Solve for x
    x = 196,553,902,336/201,998
  6. Step 6: Final answer
    x = 973,048.75

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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.