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Finding the Third Proportional to 192,543.75 and 429,359.25

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Solution

The third proportional to 192,543.75 and 429,359.25 is: 957,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,543.75 : 429,359.25 = 429,359.25 : x
  2. Step 2: Convert to fraction form
    192,543.75/429,359.25 = 429,359.25/x
  3. Step 3: Cross multiply
    192,543.75x = 429,359.25 × 429,359.25
  4. Step 4: Simplify right side
    192,543.75x = 184,349,365,560.56
  5. Step 5: Solve for x
    x = 184,349,365,560.56/192,543.75
  6. Step 6: Final answer
    x = 957,441.44

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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.