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Finding the Third Proportional to 149,546.50 and 229,863

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Solution

The third proportional to 149,546.50 and 229,863 is: 353,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546.50 : 229,863 = 229,863 : x
  2. Step 2: Convert to fraction form
    149,546.50/229,863 = 229,863/x
  3. Step 3: Cross multiply
    149,546.50x = 229,863 × 229,863
  4. Step 4: Simplify right side
    149,546.50x = 52,836,998,769
  5. Step 5: Solve for x
    x = 52,836,998,769/149,546.50
  6. Step 6: Final answer
    x = 353,314.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.