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Finding the Third Proportional to 144,240.75 and 223,919.44

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Solution

The third proportional to 144,240.75 and 223,919.44 is: 347,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,240.75 : 223,919.44 = 223,919.44 : x
  2. Step 2: Convert to fraction form
    144,240.75/223,919.44 = 223,919.44/x
  3. Step 3: Cross multiply
    144,240.75x = 223,919.44 × 223,919.44
  4. Step 4: Simplify right side
    144,240.75x = 50,139,914,490.32
  5. Step 5: Solve for x
    x = 50,139,914,490.32/144,240.75
  6. Step 6: Final answer
    x = 347,612.69

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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.