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Finding the Third Proportional to 222.75 and 407.53

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Solution

The third proportional to 222.75 and 407.53 is: 745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 407.53 = 407.53 : x
  2. Step 2: Convert to fraction form
    222.75/407.53 = 407.53/x
  3. Step 3: Cross multiply
    222.75x = 407.53 × 407.53
  4. Step 4: Simplify right side
    222.75x = 166,081.72
  5. Step 5: Solve for x
    x = 166,081.72/222.75
  6. Step 6: Final answer
    x = 745.60

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.