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Finding the Third Proportional to 122,679 and 262,846

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Solution

The third proportional to 122,679 and 262,846 is: 563,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,679 : 262,846 = 262,846 : x
  2. Step 2: Convert to fraction form
    122,679/262,846 = 262,846/x
  3. Step 3: Cross multiply
    122,679x = 262,846 × 262,846
  4. Step 4: Simplify right side
    122,679x = 69,088,019,716
  5. Step 5: Solve for x
    x = 69,088,019,716/122,679
  6. Step 6: Final answer
    x = 563,160.93

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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.