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Finding the Third Proportional to 199,768.50 and 429,180.75

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Solution

The third proportional to 199,768.50 and 429,180.75 is: 922,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,768.50 : 429,180.75 = 429,180.75 : x
  2. Step 2: Convert to fraction form
    199,768.50/429,180.75 = 429,180.75/x
  3. Step 3: Cross multiply
    199,768.50x = 429,180.75 × 429,180.75
  4. Step 4: Simplify right side
    199,768.50x = 184,196,116,170.56
  5. Step 5: Solve for x
    x = 184,196,116,170.56/199,768.50
  6. Step 6: Final answer
    x = 922,047.85

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Why These Related Problems?

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