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Finding the Third Proportional to 246.66 and 384.61

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Solution

The third proportional to 246.66 and 384.61 is: 599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.66 : 384.61 = 384.61 : x
  2. Step 2: Convert to fraction form
    246.66/384.61 = 384.61/x
  3. Step 3: Cross multiply
    246.66x = 384.61 × 384.61
  4. Step 4: Simplify right side
    246.66x = 147,924.37
  5. Step 5: Solve for x
    x = 147,924.37/246.66
  6. Step 6: Final answer
    x = 599.72

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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.