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Finding the Third Proportional to 123,402.75 and 262,375.88

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Solution

The third proportional to 123,402.75 and 262,375.88 is: 557,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402.75 : 262,375.88 = 262,375.88 : x
  2. Step 2: Convert to fraction form
    123,402.75/262,375.88 = 262,375.88/x
  3. Step 3: Cross multiply
    123,402.75x = 262,375.88 × 262,375.88
  4. Step 4: Simplify right side
    123,402.75x = 68,841,099,782.02
  5. Step 5: Solve for x
    x = 68,841,099,782.02/123,402.75
  6. Step 6: Final answer
    x = 557,857.10

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.