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Finding the Third Proportional to 122,804 and 263,545

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Solution

The third proportional to 122,804 and 263,545 is: 565,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,804 : 263,545 = 263,545 : x
  2. Step 2: Convert to fraction form
    122,804/263,545 = 263,545/x
  3. Step 3: Cross multiply
    122,804x = 263,545 × 263,545
  4. Step 4: Simplify right side
    122,804x = 69,455,967,025
  5. Step 5: Solve for x
    x = 69,455,967,025/122,804
  6. Step 6: Final answer
    x = 565,583.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.