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Finding the Third Proportional to 190,275 and 405,883

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Solution

The third proportional to 190,275 and 405,883 is: 865,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,275 : 405,883 = 405,883 : x
  2. Step 2: Convert to fraction form
    190,275/405,883 = 405,883/x
  3. Step 3: Cross multiply
    190,275x = 405,883 × 405,883
  4. Step 4: Simplify right side
    190,275x = 164,741,009,689
  5. Step 5: Solve for x
    x = 164,741,009,689/190,275
  6. Step 6: Final answer
    x = 865,804.81

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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.