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Finding the Third Proportional to 199,763.75 and 429,173

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Solution

The third proportional to 199,763.75 and 429,173 is: 922,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,763.75 : 429,173 = 429,173 : x
  2. Step 2: Convert to fraction form
    199,763.75/429,173 = 429,173/x
  3. Step 3: Cross multiply
    199,763.75x = 429,173 × 429,173
  4. Step 4: Simplify right side
    199,763.75x = 184,189,463,929
  5. Step 5: Solve for x
    x = 184,189,463,929/199,763.75
  6. Step 6: Final answer
    x = 922,036.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.