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Finding the Third Proportional to 128.14 and 264.83

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Solution

The third proportional to 128.14 and 264.83 is: 547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 264.83 = 264.83 : x
  2. Step 2: Convert to fraction form
    128.14/264.83 = 264.83/x
  3. Step 3: Cross multiply
    128.14x = 264.83 × 264.83
  4. Step 4: Simplify right side
    128.14x = 70,136.00
  5. Step 5: Solve for x
    x = 70,136.00/128.14
  6. Step 6: Final answer
    x = 547.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.