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Finding the Third Proportional to 305.02 and 438.33

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Solution

The third proportional to 305.02 and 438.33 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 438.33 = 438.33 : x
  2. Step 2: Convert to fraction form
    305.02/438.33 = 438.33/x
  3. Step 3: Cross multiply
    305.02x = 438.33 × 438.33
  4. Step 4: Simplify right side
    305.02x = 192,131.55
  5. Step 5: Solve for x
    x = 192,131.55/305.02
  6. Step 6: Final answer
    x = 629.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.