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Finding the Third Proportional to 140,176 and 305,696

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Solution

The third proportional to 140,176 and 305,696 is: 666,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,176 : 305,696 = 305,696 : x
  2. Step 2: Convert to fraction form
    140,176/305,696 = 305,696/x
  3. Step 3: Cross multiply
    140,176x = 305,696 × 305,696
  4. Step 4: Simplify right side
    140,176x = 93,450,044,416
  5. Step 5: Solve for x
    x = 93,450,044,416/140,176
  6. Step 6: Final answer
    x = 666,662.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.