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Finding the Third Proportional to 193,221 and 415,014.75

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Solution

The third proportional to 193,221 and 415,014.75 is: 891,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,221 : 415,014.75 = 415,014.75 : x
  2. Step 2: Convert to fraction form
    193,221/415,014.75 = 415,014.75/x
  3. Step 3: Cross multiply
    193,221x = 415,014.75 × 415,014.75
  4. Step 4: Simplify right side
    193,221x = 172,237,242,717.56
  5. Step 5: Solve for x
    x = 172,237,242,717.56/193,221
  6. Step 6: Final answer
    x = 891,400.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.