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Finding the Third Proportional to 184,707 and 398,943

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Solution

The third proportional to 184,707 and 398,943 is: 861,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,707 : 398,943 = 398,943 : x
  2. Step 2: Convert to fraction form
    184,707/398,943 = 398,943/x
  3. Step 3: Cross multiply
    184,707x = 398,943 × 398,943
  4. Step 4: Simplify right side
    184,707x = 159,155,517,249
  5. Step 5: Solve for x
    x = 159,155,517,249/184,707
  6. Step 6: Final answer
    x = 861,664.78

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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.