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Finding the Third Proportional to 182,167.50 and 275,793

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Solution

The third proportional to 182,167.50 and 275,793 is: 417,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,167.50 : 275,793 = 275,793 : x
  2. Step 2: Convert to fraction form
    182,167.50/275,793 = 275,793/x
  3. Step 3: Cross multiply
    182,167.50x = 275,793 × 275,793
  4. Step 4: Simplify right side
    182,167.50x = 76,061,778,849
  5. Step 5: Solve for x
    x = 76,061,778,849/182,167.50
  6. Step 6: Final answer
    x = 417,537.59

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