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Finding the Third Proportional to 69,297.75 and 152,232.75

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Solution

The third proportional to 69,297.75 and 152,232.75 is: 334,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297.75 : 152,232.75 = 152,232.75 : x
  2. Step 2: Convert to fraction form
    69,297.75/152,232.75 = 152,232.75/x
  3. Step 3: Cross multiply
    69,297.75x = 152,232.75 × 152,232.75
  4. Step 4: Simplify right side
    69,297.75x = 23,174,810,172.56
  5. Step 5: Solve for x
    x = 23,174,810,172.56/69,297.75
  6. Step 6: Final answer
    x = 334,423.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.