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Finding the Third Proportional to 193,352 and 428,176

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Solution

The third proportional to 193,352 and 428,176 is: 948,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352 : 428,176 = 428,176 : x
  2. Step 2: Convert to fraction form
    193,352/428,176 = 428,176/x
  3. Step 3: Cross multiply
    193,352x = 428,176 × 428,176
  4. Step 4: Simplify right side
    193,352x = 183,334,686,976
  5. Step 5: Solve for x
    x = 183,334,686,976/193,352
  6. Step 6: Final answer
    x = 948,191.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.