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Finding the Third Proportional to 178,313 and 388,611.75

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Solution

The third proportional to 178,313 and 388,611.75 is: 846,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,313 : 388,611.75 = 388,611.75 : x
  2. Step 2: Convert to fraction form
    178,313/388,611.75 = 388,611.75/x
  3. Step 3: Cross multiply
    178,313x = 388,611.75 × 388,611.75
  4. Step 4: Simplify right side
    178,313x = 151,019,092,238.06
  5. Step 5: Solve for x
    x = 151,019,092,238.06/178,313
  6. Step 6: Final answer
    x = 846,932.60

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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.