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Finding the Third Proportional to 186,296 and 405,004

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Solution

The third proportional to 186,296 and 405,004 is: 880,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,296 : 405,004 = 405,004 : x
  2. Step 2: Convert to fraction form
    186,296/405,004 = 405,004/x
  3. Step 3: Cross multiply
    186,296x = 405,004 × 405,004
  4. Step 4: Simplify right side
    186,296x = 164,028,240,016
  5. Step 5: Solve for x
    x = 164,028,240,016/186,296
  6. Step 6: Final answer
    x = 880,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.