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Finding the Third Proportional to 195,898 and 290,967

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Solution

The third proportional to 195,898 and 290,967 is: 432,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,898 : 290,967 = 290,967 : x
  2. Step 2: Convert to fraction form
    195,898/290,967 = 290,967/x
  3. Step 3: Cross multiply
    195,898x = 290,967 × 290,967
  4. Step 4: Simplify right side
    195,898x = 84,661,795,089
  5. Step 5: Solve for x
    x = 84,661,795,089/195,898
  6. Step 6: Final answer
    x = 432,172.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.