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Finding the Third Proportional to 239,972 and 367,230

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Solution

The third proportional to 239,972 and 367,230 is: 561,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,972 : 367,230 = 367,230 : x
  2. Step 2: Convert to fraction form
    239,972/367,230 = 367,230/x
  3. Step 3: Cross multiply
    239,972x = 367,230 × 367,230
  4. Step 4: Simplify right side
    239,972x = 134,857,872,900
  5. Step 5: Solve for x
    x = 134,857,872,900/239,972
  6. Step 6: Final answer
    x = 561,973.37

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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.