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Finding the Third Proportional to 144,652 and 223,958

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Solution

The third proportional to 144,652 and 223,958 is: 346,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 223,958 = 223,958 : x
  2. Step 2: Convert to fraction form
    144,652/223,958 = 223,958/x
  3. Step 3: Cross multiply
    144,652x = 223,958 × 223,958
  4. Step 4: Simplify right side
    144,652x = 50,157,185,764
  5. Step 5: Solve for x
    x = 50,157,185,764/144,652
  6. Step 6: Final answer
    x = 346,743.81

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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.