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Finding the Third Proportional to 238,193 and 510,922

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Solution

The third proportional to 238,193 and 510,922 is: 1,095,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,193 : 510,922 = 510,922 : x
  2. Step 2: Convert to fraction form
    238,193/510,922 = 510,922/x
  3. Step 3: Cross multiply
    238,193x = 510,922 × 510,922
  4. Step 4: Simplify right side
    238,193x = 261,041,290,084
  5. Step 5: Solve for x
    x = 261,041,290,084/238,193
  6. Step 6: Final answer
    x = 1,095,923.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.