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Finding the Third Proportional to 144,027 and 218,025

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Solution

The third proportional to 144,027 and 218,025 is: 330,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,027 : 218,025 = 218,025 : x
  2. Step 2: Convert to fraction form
    144,027/218,025 = 218,025/x
  3. Step 3: Cross multiply
    144,027x = 218,025 × 218,025
  4. Step 4: Simplify right side
    144,027x = 47,534,900,625
  5. Step 5: Solve for x
    x = 47,534,900,625/144,027
  6. Step 6: Final answer
    x = 330,041.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.