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Finding the Third Proportional to 199,753 and 429,152

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Solution

The third proportional to 199,753 and 429,152 is: 921,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,753 : 429,152 = 429,152 : x
  2. Step 2: Convert to fraction form
    199,753/429,152 = 429,152/x
  3. Step 3: Cross multiply
    199,753x = 429,152 × 429,152
  4. Step 4: Simplify right side
    199,753x = 184,171,439,104
  5. Step 5: Solve for x
    x = 184,171,439,104/199,753
  6. Step 6: Final answer
    x = 921,995.86

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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.