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Finding the Third Proportional to 264,837.94 and 373,114.69

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Solution

The third proportional to 264,837.94 and 373,114.69 is: 525,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,837.94 : 373,114.69 = 373,114.69 : x
  2. Step 2: Convert to fraction form
    264,837.94/373,114.69 = 373,114.69/x
  3. Step 3: Cross multiply
    264,837.94x = 373,114.69 × 373,114.69
  4. Step 4: Simplify right side
    264,837.94x = 139,214,570,028.22
  5. Step 5: Solve for x
    x = 139,214,570,028.22/264,837.94
  6. Step 6: Final answer
    x = 525,659.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.