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Finding the Third Proportional to 178,285.50 and 388,557

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Solution

The third proportional to 178,285.50 and 388,557 is: 846,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,285.50 : 388,557 = 388,557 : x
  2. Step 2: Convert to fraction form
    178,285.50/388,557 = 388,557/x
  3. Step 3: Cross multiply
    178,285.50x = 388,557 × 388,557
  4. Step 4: Simplify right side
    178,285.50x = 150,976,542,249
  5. Step 5: Solve for x
    x = 150,976,542,249/178,285.50
  6. Step 6: Final answer
    x = 846,824.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.