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Finding the Third Proportional to 204,036.75 and 444,213

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Solution

The third proportional to 204,036.75 and 444,213 is: 967,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,036.75 : 444,213 = 444,213 : x
  2. Step 2: Convert to fraction form
    204,036.75/444,213 = 444,213/x
  3. Step 3: Cross multiply
    204,036.75x = 444,213 × 444,213
  4. Step 4: Simplify right side
    204,036.75x = 197,325,189,369
  5. Step 5: Solve for x
    x = 197,325,189,369/204,036.75
  6. Step 6: Final answer
    x = 967,106.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.