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Finding the Third Proportional to 200,854 and 311,006

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Solution

The third proportional to 200,854 and 311,006 is: 481,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,854 : 311,006 = 311,006 : x
  2. Step 2: Convert to fraction form
    200,854/311,006 = 311,006/x
  3. Step 3: Cross multiply
    200,854x = 311,006 × 311,006
  4. Step 4: Simplify right side
    200,854x = 96,724,732,036
  5. Step 5: Solve for x
    x = 96,724,732,036/200,854
  6. Step 6: Final answer
    x = 481,567.37

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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.