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Finding the Third Proportional to 238,181 and 510,899

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Solution

The third proportional to 238,181 and 510,899 is: 1,095,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,181 : 510,899 = 510,899 : x
  2. Step 2: Convert to fraction form
    238,181/510,899 = 510,899/x
  3. Step 3: Cross multiply
    238,181x = 510,899 × 510,899
  4. Step 4: Simplify right side
    238,181x = 261,017,788,201
  5. Step 5: Solve for x
    x = 261,017,788,201/238,181
  6. Step 6: Final answer
    x = 1,095,879.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.