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Finding the Third Proportional to 122,634.32 and 262,999.56

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Solution

The third proportional to 122,634.32 and 262,999.56 is: 564,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,634.32 : 262,999.56 = 262,999.56 : x
  2. Step 2: Convert to fraction form
    122,634.32/262,999.56 = 262,999.56/x
  3. Step 3: Cross multiply
    122,634.32x = 262,999.56 × 262,999.56
  4. Step 4: Simplify right side
    122,634.32x = 69,168,770,902.53
  5. Step 5: Solve for x
    x = 69,168,770,902.53/122,634.32
  6. Step 6: Final answer
    x = 564,024.60

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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.