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Finding the Third Proportional to 199,756 and 429,158

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Solution

The third proportional to 199,756 and 429,158 is: 922,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,756 : 429,158 = 429,158 : x
  2. Step 2: Convert to fraction form
    199,756/429,158 = 429,158/x
  3. Step 3: Cross multiply
    199,756x = 429,158 × 429,158
  4. Step 4: Simplify right side
    199,756x = 184,176,588,964
  5. Step 5: Solve for x
    x = 184,176,588,964/199,756
  6. Step 6: Final answer
    x = 922,007.79

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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.