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Finding the Third Proportional to 122,674 and 262,836

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Solution

The third proportional to 122,674 and 262,836 is: 563,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,674 : 262,836 = 262,836 : x
  2. Step 2: Convert to fraction form
    122,674/262,836 = 262,836/x
  3. Step 3: Cross multiply
    122,674x = 262,836 × 262,836
  4. Step 4: Simplify right side
    122,674x = 69,082,762,896
  5. Step 5: Solve for x
    x = 69,082,762,896/122,674
  6. Step 6: Final answer
    x = 563,141.03

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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.