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Finding the Third Proportional to 193,812 and 415,644

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Solution

The third proportional to 193,812 and 415,644 is: 891,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,812 : 415,644 = 415,644 : x
  2. Step 2: Convert to fraction form
    193,812/415,644 = 415,644/x
  3. Step 3: Cross multiply
    193,812x = 415,644 × 415,644
  4. Step 4: Simplify right side
    193,812x = 172,759,934,736
  5. Step 5: Solve for x
    x = 172,759,934,736/193,812
  6. Step 6: Final answer
    x = 891,378.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.