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Finding the Third Proportional to 200,855 and 311,007

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Solution

The third proportional to 200,855 and 311,007 is: 481,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855 : 311,007 = 311,007 : x
  2. Step 2: Convert to fraction form
    200,855/311,007 = 311,007/x
  3. Step 3: Cross multiply
    200,855x = 311,007 × 311,007
  4. Step 4: Simplify right side
    200,855x = 96,725,354,049
  5. Step 5: Solve for x
    x = 96,725,354,049/200,855
  6. Step 6: Final answer
    x = 481,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.