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Finding the Third Proportional to 190,590 and 405,831

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Solution

The third proportional to 190,590 and 405,831 is: 864,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,590 : 405,831 = 405,831 : x
  2. Step 2: Convert to fraction form
    190,590/405,831 = 405,831/x
  3. Step 3: Cross multiply
    190,590x = 405,831 × 405,831
  4. Step 4: Simplify right side
    190,590x = 164,698,800,561
  5. Step 5: Solve for x
    x = 164,698,800,561/190,590
  6. Step 6: Final answer
    x = 864,152.37

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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.