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Finding the Third Proportional to 246.28 and 384.42

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Solution

The third proportional to 246.28 and 384.42 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.28 : 384.42 = 384.42 : x
  2. Step 2: Convert to fraction form
    246.28/384.42 = 384.42/x
  3. Step 3: Cross multiply
    246.28x = 384.42 × 384.42
  4. Step 4: Simplify right side
    246.28x = 147,780.18
  5. Step 5: Solve for x
    x = 147,780.18/246.28
  6. Step 6: Final answer
    x = 600.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.