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Finding the Third Proportional to 183,237 and 397,807.50

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Solution

The third proportional to 183,237 and 397,807.50 is: 863,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,237 : 397,807.50 = 397,807.50 : x
  2. Step 2: Convert to fraction form
    183,237/397,807.50 = 397,807.50/x
  3. Step 3: Cross multiply
    183,237x = 397,807.50 × 397,807.50
  4. Step 4: Simplify right side
    183,237x = 158,250,807,056.25
  5. Step 5: Solve for x
    x = 158,250,807,056.25/183,237
  6. Step 6: Final answer
    x = 863,640.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.