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Finding the Third Proportional to 200,698 and 310,930

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Solution

The third proportional to 200,698 and 310,930 is: 481,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,698 : 310,930 = 310,930 : x
  2. Step 2: Convert to fraction form
    200,698/310,930 = 310,930/x
  3. Step 3: Cross multiply
    200,698x = 310,930 × 310,930
  4. Step 4: Simplify right side
    200,698x = 96,677,464,900
  5. Step 5: Solve for x
    x = 96,677,464,900/200,698
  6. Step 6: Final answer
    x = 481,706.17

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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.