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Finding the Third Proportional to 199,644.75 and 301,851

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Solution

The third proportional to 199,644.75 and 301,851 is: 456,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,644.75 : 301,851 = 301,851 : x
  2. Step 2: Convert to fraction form
    199,644.75/301,851 = 301,851/x
  3. Step 3: Cross multiply
    199,644.75x = 301,851 × 301,851
  4. Step 4: Simplify right side
    199,644.75x = 91,114,026,201
  5. Step 5: Solve for x
    x = 91,114,026,201/199,644.75
  6. Step 6: Final answer
    x = 456,380.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.