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Finding the Third Proportional to 199,679.34 and 429,805.97

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Solution

The third proportional to 199,679.34 and 429,805.97 is: 925,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,679.34 : 429,805.97 = 429,805.97 : x
  2. Step 2: Convert to fraction form
    199,679.34/429,805.97 = 429,805.97/x
  3. Step 3: Cross multiply
    199,679.34x = 429,805.97 × 429,805.97
  4. Step 4: Simplify right side
    199,679.34x = 184,733,170,773.13
  5. Step 5: Solve for x
    x = 184,733,170,773.13/199,679.34
  6. Step 6: Final answer
    x = 925,149.13

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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.