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Finding the Third Proportional to 188,861.63 and 285,114.38

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Solution

The third proportional to 188,861.63 and 285,114.38 is: 430,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,861.63 : 285,114.38 = 285,114.38 : x
  2. Step 2: Convert to fraction form
    188,861.63/285,114.38 = 285,114.38/x
  3. Step 3: Cross multiply
    188,861.63x = 285,114.38 × 285,114.38
  4. Step 4: Simplify right side
    188,861.63x = 81,290,206,831.64
  5. Step 5: Solve for x
    x = 81,290,206,831.64/188,861.63
  6. Step 6: Final answer
    x = 430,422.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.