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Finding the Third Proportional to 191,702 and 403,234

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Solution

The third proportional to 191,702 and 403,234 is: 848,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,702 : 403,234 = 403,234 : x
  2. Step 2: Convert to fraction form
    191,702/403,234 = 403,234/x
  3. Step 3: Cross multiply
    191,702x = 403,234 × 403,234
  4. Step 4: Simplify right side
    191,702x = 162,597,658,756
  5. Step 5: Solve for x
    x = 162,597,658,756/191,702
  6. Step 6: Final answer
    x = 848,179.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.