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Finding the Third Proportional to 193,556 and 416,775

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Solution

The third proportional to 193,556 and 416,775 is: 897,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,556 : 416,775 = 416,775 : x
  2. Step 2: Convert to fraction form
    193,556/416,775 = 416,775/x
  3. Step 3: Cross multiply
    193,556x = 416,775 × 416,775
  4. Step 4: Simplify right side
    193,556x = 173,701,400,625
  5. Step 5: Solve for x
    x = 173,701,400,625/193,556
  6. Step 6: Final answer
    x = 897,421.94

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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.