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Finding the Third Proportional to 250.59 and 384.43

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Solution

The third proportional to 250.59 and 384.43 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.59 : 384.43 = 384.43 : x
  2. Step 2: Convert to fraction form
    250.59/384.43 = 384.43/x
  3. Step 3: Cross multiply
    250.59x = 384.43 × 384.43
  4. Step 4: Simplify right side
    250.59x = 147,789.19
  5. Step 5: Solve for x
    x = 147,789.19/250.59
  6. Step 6: Final answer
    x = 589.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.