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Finding the Third Proportional to 193,600 and 415,213

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Solution

The third proportional to 193,600 and 415,213 is: 890,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,600 : 415,213 = 415,213 : x
  2. Step 2: Convert to fraction form
    193,600/415,213 = 415,213/x
  3. Step 3: Cross multiply
    193,600x = 415,213 × 415,213
  4. Step 4: Simplify right side
    193,600x = 172,401,835,369
  5. Step 5: Solve for x
    x = 172,401,835,369/193,600
  6. Step 6: Final answer
    x = 890,505.35

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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.