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Finding the Third Proportional to 262.83 and 384.96

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Solution

The third proportional to 262.83 and 384.96 is: 563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 384.96 = 384.96 : x
  2. Step 2: Convert to fraction form
    262.83/384.96 = 384.96/x
  3. Step 3: Cross multiply
    262.83x = 384.96 × 384.96
  4. Step 4: Simplify right side
    262.83x = 148,194.92
  5. Step 5: Solve for x
    x = 148,194.92/262.83
  6. Step 6: Final answer
    x = 563.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.