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Finding the Third Proportional to 151,474.50 and 235,194

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Solution

The third proportional to 151,474.50 and 235,194 is: 365,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,474.50 : 235,194 = 235,194 : x
  2. Step 2: Convert to fraction form
    151,474.50/235,194 = 235,194/x
  3. Step 3: Cross multiply
    151,474.50x = 235,194 × 235,194
  4. Step 4: Simplify right side
    151,474.50x = 55,316,217,636
  5. Step 5: Solve for x
    x = 55,316,217,636/151,474.50
  6. Step 6: Final answer
    x = 365,185.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.