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Finding the Third Proportional to 193,878.56 and 284,059.41

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Solution

The third proportional to 193,878.56 and 284,059.41 is: 416,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,878.56 : 284,059.41 = 284,059.41 : x
  2. Step 2: Convert to fraction form
    193,878.56/284,059.41 = 284,059.41/x
  3. Step 3: Cross multiply
    193,878.56x = 284,059.41 × 284,059.41
  4. Step 4: Simplify right side
    193,878.56x = 80,689,746,279.10
  5. Step 5: Solve for x
    x = 80,689,746,279.10/193,878.56
  6. Step 6: Final answer
    x = 416,187.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.