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Finding the Third Proportional to 166,968 and 277,236

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Solution

The third proportional to 166,968 and 277,236 is: 460,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,968 : 277,236 = 277,236 : x
  2. Step 2: Convert to fraction form
    166,968/277,236 = 277,236/x
  3. Step 3: Cross multiply
    166,968x = 277,236 × 277,236
  4. Step 4: Simplify right side
    166,968x = 76,859,799,696
  5. Step 5: Solve for x
    x = 76,859,799,696/166,968
  6. Step 6: Final answer
    x = 460,326.53

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.