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Finding the Third Proportional to 122,811 and 269,004

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Solution

The third proportional to 122,811 and 269,004 is: 589,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,811 : 269,004 = 269,004 : x
  2. Step 2: Convert to fraction form
    122,811/269,004 = 269,004/x
  3. Step 3: Cross multiply
    122,811x = 269,004 × 269,004
  4. Step 4: Simplify right side
    122,811x = 72,363,152,016
  5. Step 5: Solve for x
    x = 72,363,152,016/122,811
  6. Step 6: Final answer
    x = 589,223.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.