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Finding the Third Proportional to 192,543.19 and 429,357.38

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Solution

The third proportional to 192,543.19 and 429,357.38 is: 957,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,543.19 : 429,357.38 = 429,357.38 : x
  2. Step 2: Convert to fraction form
    192,543.19/429,357.38 = 429,357.38/x
  3. Step 3: Cross multiply
    192,543.19x = 429,357.38 × 429,357.38
  4. Step 4: Simplify right side
    192,543.19x = 184,347,755,466.89
  5. Step 5: Solve for x
    x = 184,347,755,466.89/192,543.19
  6. Step 6: Final answer
    x = 957,435.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.