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Finding the Third Proportional to 185,683 and 277,831

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Solution

The third proportional to 185,683 and 277,831 is: 415,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,683 : 277,831 = 277,831 : x
  2. Step 2: Convert to fraction form
    185,683/277,831 = 277,831/x
  3. Step 3: Cross multiply
    185,683x = 277,831 × 277,831
  4. Step 4: Simplify right side
    185,683x = 77,190,064,561
  5. Step 5: Solve for x
    x = 77,190,064,561/185,683
  6. Step 6: Final answer
    x = 415,708.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.