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Finding the Third Proportional to 133.50 and 294

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Solution

The third proportional to 133.50 and 294 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 294 = 294 : x
  2. Step 2: Convert to fraction form
    133.50/294 = 294/x
  3. Step 3: Cross multiply
    133.50x = 294 × 294
  4. Step 4: Simplify right side
    133.50x = 86,436
  5. Step 5: Solve for x
    x = 86,436/133.50
  6. Step 6: Final answer
    x = 647.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.