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Finding the Third Proportional to 199,770.50 and 429,185

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Solution

The third proportional to 199,770.50 and 429,185 is: 922,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770.50 : 429,185 = 429,185 : x
  2. Step 2: Convert to fraction form
    199,770.50/429,185 = 429,185/x
  3. Step 3: Cross multiply
    199,770.50x = 429,185 × 429,185
  4. Step 4: Simplify right side
    199,770.50x = 184,199,764,225
  5. Step 5: Solve for x
    x = 184,199,764,225/199,770.50
  6. Step 6: Final answer
    x = 922,056.88

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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.