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Finding the Third Proportional to 174,664 and 355,751

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Solution

The third proportional to 174,664 and 355,751 is: 724,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,664 : 355,751 = 355,751 : x
  2. Step 2: Convert to fraction form
    174,664/355,751 = 355,751/x
  3. Step 3: Cross multiply
    174,664x = 355,751 × 355,751
  4. Step 4: Simplify right side
    174,664x = 126,558,774,001
  5. Step 5: Solve for x
    x = 126,558,774,001/174,664
  6. Step 6: Final answer
    x = 724,584.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.