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Finding the Third Proportional to 149,275 and 223,819

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Solution

The third proportional to 149,275 and 223,819 is: 335,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,275 : 223,819 = 223,819 : x
  2. Step 2: Convert to fraction form
    149,275/223,819 = 223,819/x
  3. Step 3: Cross multiply
    149,275x = 223,819 × 223,819
  4. Step 4: Simplify right side
    149,275x = 50,094,944,761
  5. Step 5: Solve for x
    x = 50,094,944,761/149,275
  6. Step 6: Final answer
    x = 335,588.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.