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Finding the Third Proportional to 190,764 and 406,854

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Solution

The third proportional to 190,764 and 406,854 is: 867,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764 : 406,854 = 406,854 : x
  2. Step 2: Convert to fraction form
    190,764/406,854 = 406,854/x
  3. Step 3: Cross multiply
    190,764x = 406,854 × 406,854
  4. Step 4: Simplify right side
    190,764x = 165,530,177,316
  5. Step 5: Solve for x
    x = 165,530,177,316/190,764
  6. Step 6: Final answer
    x = 867,722.30

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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.