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Finding the Third Proportional to 127.88 and 307.22

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Solution

The third proportional to 127.88 and 307.22 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.88 : 307.22 = 307.22 : x
  2. Step 2: Convert to fraction form
    127.88/307.22 = 307.22/x
  3. Step 3: Cross multiply
    127.88x = 307.22 × 307.22
  4. Step 4: Simplify right side
    127.88x = 94,383.36
  5. Step 5: Solve for x
    x = 94,383.36/127.88
  6. Step 6: Final answer
    x = 738.09

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.