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Finding the Third Proportional to 264.83 and 353.74

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Solution

The third proportional to 264.83 and 353.74 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 353.74 = 353.74 : x
  2. Step 2: Convert to fraction form
    264.83/353.74 = 353.74/x
  3. Step 3: Cross multiply
    264.83x = 353.74 × 353.74
  4. Step 4: Simplify right side
    264.83x = 125,133.54
  5. Step 5: Solve for x
    x = 125,133.54/264.83
  6. Step 6: Final answer
    x = 472.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.