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Finding the Third Proportional to 191,702 and 403,235

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Solution

The third proportional to 191,702 and 403,235 is: 848,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,702 : 403,235 = 403,235 : x
  2. Step 2: Convert to fraction form
    191,702/403,235 = 403,235/x
  3. Step 3: Cross multiply
    191,702x = 403,235 × 403,235
  4. Step 4: Simplify right side
    191,702x = 162,598,465,225
  5. Step 5: Solve for x
    x = 162,598,465,225/191,702
  6. Step 6: Final answer
    x = 848,183.46

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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.