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Finding the Third Proportional to 189,084.38 and 406,842.75

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Solution

The third proportional to 189,084.38 and 406,842.75 is: 875,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084.38 : 406,842.75 = 406,842.75 : x
  2. Step 2: Convert to fraction form
    189,084.38/406,842.75 = 406,842.75/x
  3. Step 3: Cross multiply
    189,084.38x = 406,842.75 × 406,842.75
  4. Step 4: Simplify right side
    189,084.38x = 165,521,023,227.56
  5. Step 5: Solve for x
    x = 165,521,023,227.56/189,084.38
  6. Step 6: Final answer
    x = 875,381.81

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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.