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Finding the Third Proportional to 143,647.17 and 215,666.30

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Solution

The third proportional to 143,647.17 and 215,666.30 is: 323,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,647.17 : 215,666.30 = 215,666.30 : x
  2. Step 2: Convert to fraction form
    143,647.17/215,666.30 = 215,666.30/x
  3. Step 3: Cross multiply
    143,647.17x = 215,666.30 × 215,666.30
  4. Step 4: Simplify right side
    143,647.17x = 46,511,951,607.78
  5. Step 5: Solve for x
    x = 46,511,951,607.78/143,647.17
  6. Step 6: Final answer
    x = 323,793.02

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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.