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Finding the Third Proportional to 144,114 and 215,595

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Solution

The third proportional to 144,114 and 215,595 is: 322,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,114 : 215,595 = 215,595 : x
  2. Step 2: Convert to fraction form
    144,114/215,595 = 215,595/x
  3. Step 3: Cross multiply
    144,114x = 215,595 × 215,595
  4. Step 4: Simplify right side
    144,114x = 46,481,204,025
  5. Step 5: Solve for x
    x = 46,481,204,025/144,114
  6. Step 6: Final answer
    x = 322,530.80

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