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Finding the Third Proportional to 190,458.25 and 406,228.75

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Solution

The third proportional to 190,458.25 and 406,228.75 is: 866,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,458.25 : 406,228.75 = 406,228.75 : x
  2. Step 2: Convert to fraction form
    190,458.25/406,228.75 = 406,228.75/x
  3. Step 3: Cross multiply
    190,458.25x = 406,228.75 × 406,228.75
  4. Step 4: Simplify right side
    190,458.25x = 165,021,797,326.56
  5. Step 5: Solve for x
    x = 165,021,797,326.56/190,458.25
  6. Step 6: Final answer
    x = 866,446.04

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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.