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Finding the Third Proportional to 144.88 and 246.69

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Solution

The third proportional to 144.88 and 246.69 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.88 : 246.69 = 246.69 : x
  2. Step 2: Convert to fraction form
    144.88/246.69 = 246.69/x
  3. Step 3: Cross multiply
    144.88x = 246.69 × 246.69
  4. Step 4: Simplify right side
    144.88x = 60,854.72
  5. Step 5: Solve for x
    x = 60,854.72/144.88
  6. Step 6: Final answer
    x = 420.05

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.