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Finding the Third Proportional to 178,576 and 352,736

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Solution

The third proportional to 178,576 and 352,736 is: 696,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576 : 352,736 = 352,736 : x
  2. Step 2: Convert to fraction form
    178,576/352,736 = 352,736/x
  3. Step 3: Cross multiply
    178,576x = 352,736 × 352,736
  4. Step 4: Simplify right side
    178,576x = 124,422,685,696
  5. Step 5: Solve for x
    x = 124,422,685,696/178,576
  6. Step 6: Final answer
    x = 696,749.20

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.