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Finding the Third Proportional to 140,389.50 and 300,075

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Solution

The third proportional to 140,389.50 and 300,075 is: 641,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,389.50 : 300,075 = 300,075 : x
  2. Step 2: Convert to fraction form
    140,389.50/300,075 = 300,075/x
  3. Step 3: Cross multiply
    140,389.50x = 300,075 × 300,075
  4. Step 4: Simplify right side
    140,389.50x = 90,045,005,625
  5. Step 5: Solve for x
    x = 90,045,005,625/140,389.50
  6. Step 6: Final answer
    x = 641,394.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.