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Finding the Third Proportional to 122,615.44 and 264,583.13

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Solution

The third proportional to 122,615.44 and 264,583.13 is: 570,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,615.44 : 264,583.13 = 264,583.13 : x
  2. Step 2: Convert to fraction form
    122,615.44/264,583.13 = 264,583.13/x
  3. Step 3: Cross multiply
    122,615.44x = 264,583.13 × 264,583.13
  4. Step 4: Simplify right side
    122,615.44x = 70,004,230,034.77
  5. Step 5: Solve for x
    x = 70,004,230,034.77/122,615.44
  6. Step 6: Final answer
    x = 570,925.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.