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Finding the Third Proportional to 238,656 and 367,104

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Solution

The third proportional to 238,656 and 367,104 is: 564,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,656 : 367,104 = 367,104 : x
  2. Step 2: Convert to fraction form
    238,656/367,104 = 367,104/x
  3. Step 3: Cross multiply
    238,656x = 367,104 × 367,104
  4. Step 4: Simplify right side
    238,656x = 134,765,346,816
  5. Step 5: Solve for x
    x = 134,765,346,816/238,656
  6. Step 6: Final answer
    x = 564,684.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.