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Finding the Third Proportional to 154,675.50 and 327,657

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Solution

The third proportional to 154,675.50 and 327,657 is: 694,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,675.50 : 327,657 = 327,657 : x
  2. Step 2: Convert to fraction form
    154,675.50/327,657 = 327,657/x
  3. Step 3: Cross multiply
    154,675.50x = 327,657 × 327,657
  4. Step 4: Simplify right side
    154,675.50x = 107,359,109,649
  5. Step 5: Solve for x
    x = 107,359,109,649/154,675.50
  6. Step 6: Final answer
    x = 694,092.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.