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Finding the Third Proportional to 243.56 and 307.94

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Solution

The third proportional to 243.56 and 307.94 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.56 : 307.94 = 307.94 : x
  2. Step 2: Convert to fraction form
    243.56/307.94 = 307.94/x
  3. Step 3: Cross multiply
    243.56x = 307.94 × 307.94
  4. Step 4: Simplify right side
    243.56x = 94,825.50
  5. Step 5: Solve for x
    x = 94,825.50/243.56
  6. Step 6: Final answer
    x = 389.33

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.