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Finding the Third Proportional to 150,711 and 235,174.50

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Solution

The third proportional to 150,711 and 235,174.50 is: 366,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,711 : 235,174.50 = 235,174.50 : x
  2. Step 2: Convert to fraction form
    150,711/235,174.50 = 235,174.50/x
  3. Step 3: Cross multiply
    150,711x = 235,174.50 × 235,174.50
  4. Step 4: Simplify right side
    150,711x = 55,307,045,450.25
  5. Step 5: Solve for x
    x = 55,307,045,450.25/150,711
  6. Step 6: Final answer
    x = 366,974.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.