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Finding the Third Proportional to 353.53 and 546.86

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Solution

The third proportional to 353.53 and 546.86 is: 845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.53 : 546.86 = 546.86 : x
  2. Step 2: Convert to fraction form
    353.53/546.86 = 546.86/x
  3. Step 3: Cross multiply
    353.53x = 546.86 × 546.86
  4. Step 4: Simplify right side
    353.53x = 299,050.90
  5. Step 5: Solve for x
    x = 299,050.90/353.53
  6. Step 6: Final answer
    x = 845.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.