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Finding the Third Proportional to 184,707.56 and 398,885.63

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Solution

The third proportional to 184,707.56 and 398,885.63 is: 861,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,707.56 : 398,885.63 = 398,885.63 : x
  2. Step 2: Convert to fraction form
    184,707.56/398,885.63 = 398,885.63/x
  3. Step 3: Cross multiply
    184,707.56x = 398,885.63 × 398,885.63
  4. Step 4: Simplify right side
    184,707.56x = 159,109,741,831.64
  5. Step 5: Solve for x
    x = 159,109,741,831.64/184,707.56
  6. Step 6: Final answer
    x = 861,414.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.