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Finding the Third Proportional to 164,904.75 and 361,371.25

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Solution

The third proportional to 164,904.75 and 361,371.25 is: 791,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904.75 : 361,371.25 = 361,371.25 : x
  2. Step 2: Convert to fraction form
    164,904.75/361,371.25 = 361,371.25/x
  3. Step 3: Cross multiply
    164,904.75x = 361,371.25 × 361,371.25
  4. Step 4: Simplify right side
    164,904.75x = 130,589,180,326.56
  5. Step 5: Solve for x
    x = 130,589,180,326.56/164,904.75
  6. Step 6: Final answer
    x = 791,906.72

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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.