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Finding the Third Proportional to 169,758 and 367,080

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Solution

The third proportional to 169,758 and 367,080 is: 793,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,758 : 367,080 = 367,080 : x
  2. Step 2: Convert to fraction form
    169,758/367,080 = 367,080/x
  3. Step 3: Cross multiply
    169,758x = 367,080 × 367,080
  4. Step 4: Simplify right side
    169,758x = 134,747,726,400
  5. Step 5: Solve for x
    x = 134,747,726,400/169,758
  6. Step 6: Final answer
    x = 793,763.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.