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Finding the Third Proportional to 138,560.50 and 296,075

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Solution

The third proportional to 138,560.50 and 296,075 is: 632,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560.50 : 296,075 = 296,075 : x
  2. Step 2: Convert to fraction form
    138,560.50/296,075 = 296,075/x
  3. Step 3: Cross multiply
    138,560.50x = 296,075 × 296,075
  4. Step 4: Simplify right side
    138,560.50x = 87,660,405,625
  5. Step 5: Solve for x
    x = 87,660,405,625/138,560.50
  6. Step 6: Final answer
    x = 632,650.76

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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.