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Finding the Third Proportional to 174,961.13 and 360,964.13

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Solution

The third proportional to 174,961.13 and 360,964.13 is: 744,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.13 : 360,964.13 = 360,964.13 : x
  2. Step 2: Convert to fraction form
    174,961.13/360,964.13 = 360,964.13/x
  3. Step 3: Cross multiply
    174,961.13x = 360,964.13 × 360,964.13
  4. Step 4: Simplify right side
    174,961.13x = 130,295,099,537.02
  5. Step 5: Solve for x
    x = 130,295,099,537.02/174,961.13
  6. Step 6: Final answer
    x = 744,708.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.