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Finding the Third Proportional to 193,566 and 416,795

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Solution

The third proportional to 193,566 and 416,795 is: 897,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,566 : 416,795 = 416,795 : x
  2. Step 2: Convert to fraction form
    193,566/416,795 = 416,795/x
  3. Step 3: Cross multiply
    193,566x = 416,795 × 416,795
  4. Step 4: Simplify right side
    193,566x = 173,718,072,025
  5. Step 5: Solve for x
    x = 173,718,072,025/193,566
  6. Step 6: Final answer
    x = 897,461.70

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Why These Related Problems?

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