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Finding the Third Proportional to 154,092 and 336,214.50

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Solution

The third proportional to 154,092 and 336,214.50 is: 733,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,092 : 336,214.50 = 336,214.50 : x
  2. Step 2: Convert to fraction form
    154,092/336,214.50 = 336,214.50/x
  3. Step 3: Cross multiply
    154,092x = 336,214.50 × 336,214.50
  4. Step 4: Simplify right side
    154,092x = 113,040,190,010.25
  5. Step 5: Solve for x
    x = 113,040,190,010.25/154,092
  6. Step 6: Final answer
    x = 733,588.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.