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Finding the Third Proportional to 240.94 and 384.28

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Solution

The third proportional to 240.94 and 384.28 is: 612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.94 : 384.28 = 384.28 : x
  2. Step 2: Convert to fraction form
    240.94/384.28 = 384.28/x
  3. Step 3: Cross multiply
    240.94x = 384.28 × 384.28
  4. Step 4: Simplify right side
    240.94x = 147,672.08
  5. Step 5: Solve for x
    x = 147,672.08/240.94
  6. Step 6: Final answer
    x = 612.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.