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Finding the Third Proportional to 123,573.50 and 269,800

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Solution

The third proportional to 123,573.50 and 269,800 is: 589,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,573.50 : 269,800 = 269,800 : x
  2. Step 2: Convert to fraction form
    123,573.50/269,800 = 269,800/x
  3. Step 3: Cross multiply
    123,573.50x = 269,800 × 269,800
  4. Step 4: Simplify right side
    123,573.50x = 72,792,040,000
  5. Step 5: Solve for x
    x = 72,792,040,000/123,573.50
  6. Step 6: Final answer
    x = 589,058.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.