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Finding the Third Proportional to 237,738 and 518,124

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Solution

The third proportional to 237,738 and 518,124 is: 1,129,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,738 : 518,124 = 518,124 : x
  2. Step 2: Convert to fraction form
    237,738/518,124 = 518,124/x
  3. Step 3: Cross multiply
    237,738x = 518,124 × 518,124
  4. Step 4: Simplify right side
    237,738x = 268,452,479,376
  5. Step 5: Solve for x
    x = 268,452,479,376/237,738
  6. Step 6: Final answer
    x = 1,129,194.66

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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.