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Finding the Third Proportional to 239,156 and 503,098

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Solution

The third proportional to 239,156 and 503,098 is: 1,058,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,156 : 503,098 = 503,098 : x
  2. Step 2: Convert to fraction form
    239,156/503,098 = 503,098/x
  3. Step 3: Cross multiply
    239,156x = 503,098 × 503,098
  4. Step 4: Simplify right side
    239,156x = 253,107,597,604
  5. Step 5: Solve for x
    x = 253,107,597,604/239,156
  6. Step 6: Final answer
    x = 1,058,336.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.