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Finding the Third Proportional to 145.55 and 203.91

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Solution

The third proportional to 145.55 and 203.91 is: 285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 203.91 = 203.91 : x
  2. Step 2: Convert to fraction form
    145.55/203.91 = 203.91/x
  3. Step 3: Cross multiply
    145.55x = 203.91 × 203.91
  4. Step 4: Simplify right side
    145.55x = 41,577.76
  5. Step 5: Solve for x
    x = 41,577.76/145.55
  6. Step 6: Final answer
    x = 285.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.