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Finding the Third Proportional to 186,942.94 and 408,877.88

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Solution

The third proportional to 186,942.94 and 408,877.88 is: 894,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,942.94 : 408,877.88 = 408,877.88 : x
  2. Step 2: Convert to fraction form
    186,942.94/408,877.88 = 408,877.88/x
  3. Step 3: Cross multiply
    186,942.94x = 408,877.88 × 408,877.88
  4. Step 4: Simplify right side
    186,942.94x = 167,181,116,664.52
  5. Step 5: Solve for x
    x = 167,181,116,664.52/186,942.94
  6. Step 6: Final answer
    x = 894,289.56

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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.