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Finding the Third Proportional to 186,044.63 and 408,539.25

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Solution

The third proportional to 186,044.63 and 408,539.25 is: 897,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,044.63 : 408,539.25 = 408,539.25 : x
  2. Step 2: Convert to fraction form
    186,044.63/408,539.25 = 408,539.25/x
  3. Step 3: Cross multiply
    186,044.63x = 408,539.25 × 408,539.25
  4. Step 4: Simplify right side
    186,044.63x = 166,904,318,790.56
  5. Step 5: Solve for x
    x = 166,904,318,790.56/186,044.63
  6. Step 6: Final answer
    x = 897,119.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.