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Finding the Third Proportional to 189,671 and 406,245

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Solution

The third proportional to 189,671 and 406,245 is: 870,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,671 : 406,245 = 406,245 : x
  2. Step 2: Convert to fraction form
    189,671/406,245 = 406,245/x
  3. Step 3: Cross multiply
    189,671x = 406,245 × 406,245
  4. Step 4: Simplify right side
    189,671x = 165,035,000,025
  5. Step 5: Solve for x
    x = 165,035,000,025/189,671
  6. Step 6: Final answer
    x = 870,111.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.