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Finding the Third Proportional to 122,494 and 262,482

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Solution

The third proportional to 122,494 and 262,482 is: 562,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,494 : 262,482 = 262,482 : x
  2. Step 2: Convert to fraction form
    122,494/262,482 = 262,482/x
  3. Step 3: Cross multiply
    122,494x = 262,482 × 262,482
  4. Step 4: Simplify right side
    122,494x = 68,896,800,324
  5. Step 5: Solve for x
    x = 68,896,800,324/122,494
  6. Step 6: Final answer
    x = 562,450.41

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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.