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Finding the Third Proportional to 122,485.50 and 262,466.25

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Solution

The third proportional to 122,485.50 and 262,466.25 is: 562,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,485.50 : 262,466.25 = 262,466.25 : x
  2. Step 2: Convert to fraction form
    122,485.50/262,466.25 = 262,466.25/x
  3. Step 3: Cross multiply
    122,485.50x = 262,466.25 × 262,466.25
  4. Step 4: Simplify right side
    122,485.50x = 68,888,532,389.06
  5. Step 5: Solve for x
    x = 68,888,532,389.06/122,485.50
  6. Step 6: Final answer
    x = 562,421.94

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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.