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Finding the Third Proportional to 143,918.44 and 215,893.69

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Solution

The third proportional to 143,918.44 and 215,893.69 is: 323,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,918.44 : 215,893.69 = 215,893.69 : x
  2. Step 2: Convert to fraction form
    143,918.44/215,893.69 = 215,893.69/x
  3. Step 3: Cross multiply
    143,918.44x = 215,893.69 × 215,893.69
  4. Step 4: Simplify right side
    143,918.44x = 46,610,084,302.35
  5. Step 5: Solve for x
    x = 46,610,084,302.35/143,918.44
  6. Step 6: Final answer
    x = 323,864.58

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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.