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Finding the Third Proportional to 186,067.13 and 407,596.78

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Solution

The third proportional to 186,067.13 and 407,596.78 is: 892,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,067.13 : 407,596.78 = 407,596.78 : x
  2. Step 2: Convert to fraction form
    186,067.13/407,596.78 = 407,596.78/x
  3. Step 3: Cross multiply
    186,067.13x = 407,596.78 × 407,596.78
  4. Step 4: Simplify right side
    186,067.13x = 166,135,136,085.36
  5. Step 5: Solve for x
    x = 166,135,136,085.36/186,067.13
  6. Step 6: Final answer
    x = 892,877.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.