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Finding the Third Proportional to 167,977 and 368,718.50

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Solution

The third proportional to 167,977 and 368,718.50 is: 809,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,977 : 368,718.50 = 368,718.50 : x
  2. Step 2: Convert to fraction form
    167,977/368,718.50 = 368,718.50/x
  3. Step 3: Cross multiply
    167,977x = 368,718.50 × 368,718.50
  4. Step 4: Simplify right side
    167,977x = 135,953,332,242.25
  5. Step 5: Solve for x
    x = 135,953,332,242.25/167,977
  6. Step 6: Final answer
    x = 809,356.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.