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Finding the Third Proportional to 178,478 and 388,059.50

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Solution

The third proportional to 178,478 and 388,059.50 is: 843,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,478 : 388,059.50 = 388,059.50 : x
  2. Step 2: Convert to fraction form
    178,478/388,059.50 = 388,059.50/x
  3. Step 3: Cross multiply
    178,478x = 388,059.50 × 388,059.50
  4. Step 4: Simplify right side
    178,478x = 150,590,175,540.25
  5. Step 5: Solve for x
    x = 150,590,175,540.25/178,478
  6. Step 6: Final answer
    x = 843,746.43

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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.