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Finding the Third Proportional to 190,674 and 406,686

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Solution

The third proportional to 190,674 and 406,686 is: 867,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 406,686 = 406,686 : x
  2. Step 2: Convert to fraction form
    190,674/406,686 = 406,686/x
  3. Step 3: Cross multiply
    190,674x = 406,686 × 406,686
  4. Step 4: Simplify right side
    190,674x = 165,393,502,596
  5. Step 5: Solve for x
    x = 165,393,502,596/190,674
  6. Step 6: Final answer
    x = 867,415.08

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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.