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Finding the Third Proportional to 189,084.38 and 406,839.38

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Solution

The third proportional to 189,084.38 and 406,839.38 is: 875,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.38 : 406,839.38 = 406,839.38 : x
  2. Step 2: Convert to fraction form
    189,084.38/406,839.38 = 406,839.38/x
  3. Step 3: Cross multiply
    189,084.38x = 406,839.38 × 406,839.38
  4. Step 4: Simplify right side
    189,084.38x = 165,518,277,050.39
  5. Step 5: Solve for x
    x = 165,518,277,050.39/189,084.38
  6. Step 6: Final answer
    x = 875,367.29

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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.