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Finding the Third Proportional to 122,681.25 and 264,147.75

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Solution

The third proportional to 122,681.25 and 264,147.75 is: 568,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,681.25 : 264,147.75 = 264,147.75 : x
  2. Step 2: Convert to fraction form
    122,681.25/264,147.75 = 264,147.75/x
  3. Step 3: Cross multiply
    122,681.25x = 264,147.75 × 264,147.75
  4. Step 4: Simplify right side
    122,681.25x = 69,774,033,830.06
  5. Step 5: Solve for x
    x = 69,774,033,830.06/122,681.25
  6. Step 6: Final answer
    x = 568,742.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.