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Finding the Third Proportional to 199,836 and 429,318

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Solution

The third proportional to 199,836 and 429,318 is: 922,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836 : 429,318 = 429,318 : x
  2. Step 2: Convert to fraction form
    199,836/429,318 = 429,318/x
  3. Step 3: Cross multiply
    199,836x = 429,318 × 429,318
  4. Step 4: Simplify right side
    199,836x = 184,313,945,124
  5. Step 5: Solve for x
    x = 184,313,945,124/199,836
  6. Step 6: Final answer
    x = 922,326.03

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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.