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Finding the Third Proportional to 123,243.19 and 264,912.19

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Solution

The third proportional to 123,243.19 and 264,912.19 is: 569,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,243.19 : 264,912.19 = 264,912.19 : x
  2. Step 2: Convert to fraction form
    123,243.19/264,912.19 = 264,912.19/x
  3. Step 3: Cross multiply
    123,243.19x = 264,912.19 × 264,912.19
  4. Step 4: Simplify right side
    123,243.19x = 70,178,467,086.04
  5. Step 5: Solve for x
    x = 70,178,467,086.04/123,243.19
  6. Step 6: Final answer
    x = 569,430.80

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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.