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Finding the Third Proportional to 184,683 and 398,898

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Solution

The third proportional to 184,683 and 398,898 is: 861,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,683 : 398,898 = 398,898 : x
  2. Step 2: Convert to fraction form
    184,683/398,898 = 398,898/x
  3. Step 3: Cross multiply
    184,683x = 398,898 × 398,898
  4. Step 4: Simplify right side
    184,683x = 159,119,614,404
  5. Step 5: Solve for x
    x = 159,119,614,404/184,683
  6. Step 6: Final answer
    x = 861,582.36

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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.