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Finding the Third Proportional to 193,808 and 415,634

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Solution

The third proportional to 193,808 and 415,634 is: 891,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808 : 415,634 = 415,634 : x
  2. Step 2: Convert to fraction form
    193,808/415,634 = 415,634/x
  3. Step 3: Cross multiply
    193,808x = 415,634 × 415,634
  4. Step 4: Simplify right side
    193,808x = 172,751,621,956
  5. Step 5: Solve for x
    x = 172,751,621,956/193,808
  6. Step 6: Final answer
    x = 891,354.44

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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.