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Finding the Third Proportional to 243,208.75 and 388,522.25

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Solution

The third proportional to 243,208.75 and 388,522.25 is: 620,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,208.75 : 388,522.25 = 388,522.25 : x
  2. Step 2: Convert to fraction form
    243,208.75/388,522.25 = 388,522.25/x
  3. Step 3: Cross multiply
    243,208.75x = 388,522.25 × 388,522.25
  4. Step 4: Simplify right side
    243,208.75x = 150,949,538,745.06
  5. Step 5: Solve for x
    x = 150,949,538,745.06/243,208.75
  6. Step 6: Final answer
    x = 620,658.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.