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Finding the Third Proportional to 183,165.75 and 393,943.50

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Solution

The third proportional to 183,165.75 and 393,943.50 is: 847,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,165.75 : 393,943.50 = 393,943.50 : x
  2. Step 2: Convert to fraction form
    183,165.75/393,943.50 = 393,943.50/x
  3. Step 3: Cross multiply
    183,165.75x = 393,943.50 × 393,943.50
  4. Step 4: Simplify right side
    183,165.75x = 155,191,481,192.25
  5. Step 5: Solve for x
    x = 155,191,481,192.25/183,165.75
  6. Step 6: Final answer
    x = 847,273.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.