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Finding the Third Proportional to 122,474.75 and 262,445.50

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Solution

The third proportional to 122,474.75 and 262,445.50 is: 562,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,474.75 : 262,445.50 = 262,445.50 : x
  2. Step 2: Convert to fraction form
    122,474.75/262,445.50 = 262,445.50/x
  3. Step 3: Cross multiply
    122,474.75x = 262,445.50 × 262,445.50
  4. Step 4: Simplify right side
    122,474.75x = 68,877,640,470.25
  5. Step 5: Solve for x
    x = 68,877,640,470.25/122,474.75
  6. Step 6: Final answer
    x = 562,382.37

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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.