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Finding the Third Proportional to 146.50 and 252.63

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Solution

The third proportional to 146.50 and 252.63 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 252.63 = 252.63 : x
  2. Step 2: Convert to fraction form
    146.50/252.63 = 252.63/x
  3. Step 3: Cross multiply
    146.50x = 252.63 × 252.63
  4. Step 4: Simplify right side
    146.50x = 63,819.39
  5. Step 5: Solve for x
    x = 63,819.39/146.50
  6. Step 6: Final answer
    x = 435.63

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.