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Finding the Third Proportional to 264.83 and 341.72

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Solution

The third proportional to 264.83 and 341.72 is: 440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 341.72 = 341.72 : x
  2. Step 2: Convert to fraction form
    264.83/341.72 = 341.72/x
  3. Step 3: Cross multiply
    264.83x = 341.72 × 341.72
  4. Step 4: Simplify right side
    264.83x = 116,771.70
  5. Step 5: Solve for x
    x = 116,771.70/264.83
  6. Step 6: Final answer
    x = 440.93

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.