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Finding the Third Proportional to 272 and 466.50

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Solution

The third proportional to 272 and 466.50 is: 800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272 : 466.50 = 466.50 : x
  2. Step 2: Convert to fraction form
    272/466.50 = 466.50/x
  3. Step 3: Cross multiply
    272x = 466.50 × 466.50
  4. Step 4: Simplify right side
    272x = 217,622.25
  5. Step 5: Solve for x
    x = 217,622.25/272
  6. Step 6: Final answer
    x = 800.08

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.