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Finding the Third Proportional to 123,245 and 258,925

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Solution

The third proportional to 123,245 and 258,925 is: 543,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,245 : 258,925 = 258,925 : x
  2. Step 2: Convert to fraction form
    123,245/258,925 = 258,925/x
  3. Step 3: Cross multiply
    123,245x = 258,925 × 258,925
  4. Step 4: Simplify right side
    123,245x = 67,042,155,625
  5. Step 5: Solve for x
    x = 67,042,155,625/123,245
  6. Step 6: Final answer
    x = 543,974.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.