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Finding the Third Proportional to 179,280 and 263,736

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Solution

The third proportional to 179,280 and 263,736 is: 387,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,280 : 263,736 = 263,736 : x
  2. Step 2: Convert to fraction form
    179,280/263,736 = 263,736/x
  3. Step 3: Cross multiply
    179,280x = 263,736 × 263,736
  4. Step 4: Simplify right side
    179,280x = 69,556,677,696
  5. Step 5: Solve for x
    x = 69,556,677,696/179,280
  6. Step 6: Final answer
    x = 387,977.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.