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Finding the Third Proportional to 174,144.75 and 355,669.13

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Solution

The third proportional to 174,144.75 and 355,669.13 is: 726,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,144.75 : 355,669.13 = 355,669.13 : x
  2. Step 2: Convert to fraction form
    174,144.75/355,669.13 = 355,669.13/x
  3. Step 3: Cross multiply
    174,144.75x = 355,669.13 × 355,669.13
  4. Step 4: Simplify right side
    174,144.75x = 126,500,526,478.27
  5. Step 5: Solve for x
    x = 126,500,526,478.27/174,144.75
  6. Step 6: Final answer
    x = 726,410.22

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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.