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Finding the Third Proportional to 239,492 and 359,238

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Solution

The third proportional to 239,492 and 359,238 is: 538,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,492 : 359,238 = 359,238 : x
  2. Step 2: Convert to fraction form
    239,492/359,238 = 359,238/x
  3. Step 3: Cross multiply
    239,492x = 359,238 × 359,238
  4. Step 4: Simplify right side
    239,492x = 129,051,940,644
  5. Step 5: Solve for x
    x = 129,051,940,644/239,492
  6. Step 6: Final answer
    x = 538,857

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.