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Finding the Third Proportional to 145 and 223.75

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Solution

The third proportional to 145 and 223.75 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 223.75 = 223.75 : x
  2. Step 2: Convert to fraction form
    145/223.75 = 223.75/x
  3. Step 3: Cross multiply
    145x = 223.75 × 223.75
  4. Step 4: Simplify right side
    145x = 50,064.06
  5. Step 5: Solve for x
    x = 50,064.06/145
  6. Step 6: Final answer
    x = 345.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.