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Finding the Third Proportional to 144,364.50 and 223,107.75

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Solution

The third proportional to 144,364.50 and 223,107.75 is: 344,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,364.50 : 223,107.75 = 223,107.75 : x
  2. Step 2: Convert to fraction form
    144,364.50/223,107.75 = 223,107.75/x
  3. Step 3: Cross multiply
    144,364.50x = 223,107.75 × 223,107.75
  4. Step 4: Simplify right side
    144,364.50x = 49,777,068,110.06
  5. Step 5: Solve for x
    x = 49,777,068,110.06/144,364.50
  6. Step 6: Final answer
    x = 344,801.31

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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.