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Finding the Third Proportional to 122,600.25 and 262,696.50

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Solution

The third proportional to 122,600.25 and 262,696.50 is: 562,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,600.25 : 262,696.50 = 262,696.50 : x
  2. Step 2: Convert to fraction form
    122,600.25/262,696.50 = 262,696.50/x
  3. Step 3: Cross multiply
    122,600.25x = 262,696.50 × 262,696.50
  4. Step 4: Simplify right side
    122,600.25x = 69,009,451,112.25
  5. Step 5: Solve for x
    x = 69,009,451,112.25/122,600.25
  6. Step 6: Final answer
    x = 562,881.81

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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.