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Finding the Third Proportional to 180,062 and 386,811

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Solution

The third proportional to 180,062 and 386,811 is: 830,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,062 : 386,811 = 386,811 : x
  2. Step 2: Convert to fraction form
    180,062/386,811 = 386,811/x
  3. Step 3: Cross multiply
    180,062x = 386,811 × 386,811
  4. Step 4: Simplify right side
    180,062x = 149,622,749,721
  5. Step 5: Solve for x
    x = 149,622,749,721/180,062
  6. Step 6: Final answer
    x = 830,951.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.