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Finding the Third Proportional to 193,062 and 425,416

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Solution

The third proportional to 193,062 and 425,416 is: 937,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,062 : 425,416 = 425,416 : x
  2. Step 2: Convert to fraction form
    193,062/425,416 = 425,416/x
  3. Step 3: Cross multiply
    193,062x = 425,416 × 425,416
  4. Step 4: Simplify right side
    193,062x = 180,978,773,056
  5. Step 5: Solve for x
    x = 180,978,773,056/193,062
  6. Step 6: Final answer
    x = 937,412.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.