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Finding the Third Proportional to 292.21 and 438.33

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Solution

The third proportional to 292.21 and 438.33 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.21 : 438.33 = 438.33 : x
  2. Step 2: Convert to fraction form
    292.21/438.33 = 438.33/x
  3. Step 3: Cross multiply
    292.21x = 438.33 × 438.33
  4. Step 4: Simplify right side
    292.21x = 192,131.55
  5. Step 5: Solve for x
    x = 192,131.55/292.21
  6. Step 6: Final answer
    x = 657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.