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Finding the Third Proportional to 193,702 and 419,575

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Solution

The third proportional to 193,702 and 419,575 is: 908,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,702 : 419,575 = 419,575 : x
  2. Step 2: Convert to fraction form
    193,702/419,575 = 419,575/x
  3. Step 3: Cross multiply
    193,702x = 419,575 × 419,575
  4. Step 4: Simplify right side
    193,702x = 176,043,180,625
  5. Step 5: Solve for x
    x = 176,043,180,625/193,702
  6. Step 6: Final answer
    x = 908,835.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.