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Finding the Third Proportional to 200,822 and 310,956

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Solution

The third proportional to 200,822 and 310,956 is: 481,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,822 : 310,956 = 310,956 : x
  2. Step 2: Convert to fraction form
    200,822/310,956 = 310,956/x
  3. Step 3: Cross multiply
    200,822x = 310,956 × 310,956
  4. Step 4: Simplify right side
    200,822x = 96,693,633,936
  5. Step 5: Solve for x
    x = 96,693,633,936/200,822
  6. Step 6: Final answer
    x = 481,489.25

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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.