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Finding the Third Proportional to 196,944.75 and 429,534.56

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Solution

The third proportional to 196,944.75 and 429,534.56 is: 936,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,944.75 : 429,534.56 = 429,534.56 : x
  2. Step 2: Convert to fraction form
    196,944.75/429,534.56 = 429,534.56/x
  3. Step 3: Cross multiply
    196,944.75x = 429,534.56 × 429,534.56
  4. Step 4: Simplify right side
    196,944.75x = 184,499,940,382.07
  5. Step 5: Solve for x
    x = 184,499,940,382.07/196,944.75
  6. Step 6: Final answer
    x = 936,810.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.