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Finding the Third Proportional to 200,871 and 310,891

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Solution

The third proportional to 200,871 and 310,891 is: 481,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871 : 310,891 = 310,891 : x
  2. Step 2: Convert to fraction form
    200,871/310,891 = 310,891/x
  3. Step 3: Cross multiply
    200,871x = 310,891 × 310,891
  4. Step 4: Simplify right side
    200,871x = 96,653,213,881
  5. Step 5: Solve for x
    x = 96,653,213,881/200,871
  6. Step 6: Final answer
    x = 481,170.57

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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.