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Finding the Third Proportional to 239,968 and 367,224

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Solution

The third proportional to 239,968 and 367,224 is: 561,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,968 : 367,224 = 367,224 : x
  2. Step 2: Convert to fraction form
    239,968/367,224 = 367,224/x
  3. Step 3: Cross multiply
    239,968x = 367,224 × 367,224
  4. Step 4: Simplify right side
    239,968x = 134,853,466,176
  5. Step 5: Solve for x
    x = 134,853,466,176/239,968
  6. Step 6: Final answer
    x = 561,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.