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Finding the Third Proportional to 186,490.69 and 407,141.44

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Solution

The third proportional to 186,490.69 and 407,141.44 is: 888,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490.69 : 407,141.44 = 407,141.44 : x
  2. Step 2: Convert to fraction form
    186,490.69/407,141.44 = 407,141.44/x
  3. Step 3: Cross multiply
    186,490.69x = 407,141.44 × 407,141.44
  4. Step 4: Simplify right side
    186,490.69x = 165,764,150,129.57
  5. Step 5: Solve for x
    x = 165,764,150,129.57/186,490.69
  6. Step 6: Final answer
    x = 888,860.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.