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Finding the Third Proportional to 174,206.25 and 381,628.50

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Solution

The third proportional to 174,206.25 and 381,628.50 is: 836,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206.25 : 381,628.50 = 381,628.50 : x
  2. Step 2: Convert to fraction form
    174,206.25/381,628.50 = 381,628.50/x
  3. Step 3: Cross multiply
    174,206.25x = 381,628.50 × 381,628.50
  4. Step 4: Simplify right side
    174,206.25x = 145,640,312,012.25
  5. Step 5: Solve for x
    x = 145,640,312,012.25/174,206.25
  6. Step 6: Final answer
    x = 836,022.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.