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Finding the Third Proportional to 190,530 and 406,368

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Solution

The third proportional to 190,530 and 406,368 is: 866,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,530 : 406,368 = 406,368 : x
  2. Step 2: Convert to fraction form
    190,530/406,368 = 406,368/x
  3. Step 3: Cross multiply
    190,530x = 406,368 × 406,368
  4. Step 4: Simplify right side
    190,530x = 165,134,951,424
  5. Step 5: Solve for x
    x = 165,134,951,424/190,530
  6. Step 6: Final answer
    x = 866,713.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.