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Finding the Third Proportional to 147,729.75 and 242,706.75

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Solution

The third proportional to 147,729.75 and 242,706.75 is: 398,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,729.75 : 242,706.75 = 242,706.75 : x
  2. Step 2: Convert to fraction form
    147,729.75/242,706.75 = 242,706.75/x
  3. Step 3: Cross multiply
    147,729.75x = 242,706.75 × 242,706.75
  4. Step 4: Simplify right side
    147,729.75x = 58,906,566,495.56
  5. Step 5: Solve for x
    x = 58,906,566,495.56/147,729.75
  6. Step 6: Final answer
    x = 398,745.46

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.