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Finding the Third Proportional to 194,544 and 429,912

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Solution

The third proportional to 194,544 and 429,912 is: 950,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544 : 429,912 = 429,912 : x
  2. Step 2: Convert to fraction form
    194,544/429,912 = 429,912/x
  3. Step 3: Cross multiply
    194,544x = 429,912 × 429,912
  4. Step 4: Simplify right side
    194,544x = 184,824,327,744
  5. Step 5: Solve for x
    x = 184,824,327,744/194,544
  6. Step 6: Final answer
    x = 950,038.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.