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Finding the Third Proportional to 237,734 and 518,116

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Solution

The third proportional to 237,734 and 518,116 is: 1,129,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,734 : 518,116 = 518,116 : x
  2. Step 2: Convert to fraction form
    237,734/518,116 = 518,116/x
  3. Step 3: Cross multiply
    237,734x = 518,116 × 518,116
  4. Step 4: Simplify right side
    237,734x = 268,444,189,456
  5. Step 5: Solve for x
    x = 268,444,189,456/237,734
  6. Step 6: Final answer
    x = 1,129,178.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.