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Finding the Third Proportional to 174,477.38 and 263,174.06

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Solution

The third proportional to 174,477.38 and 263,174.06 is: 396,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,477.38 : 263,174.06 = 263,174.06 : x
  2. Step 2: Convert to fraction form
    174,477.38/263,174.06 = 263,174.06/x
  3. Step 3: Cross multiply
    174,477.38x = 263,174.06 × 263,174.06
  4. Step 4: Simplify right side
    174,477.38x = 69,260,587,172.75
  5. Step 5: Solve for x
    x = 69,260,587,172.75/174,477.38
  6. Step 6: Final answer
    x = 396,960.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.