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Finding the Third Proportional to 140,936 and 293,536

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Solution

The third proportional to 140,936 and 293,536 is: 611,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,936 : 293,536 = 293,536 : x
  2. Step 2: Convert to fraction form
    140,936/293,536 = 293,536/x
  3. Step 3: Cross multiply
    140,936x = 293,536 × 293,536
  4. Step 4: Simplify right side
    140,936x = 86,163,383,296
  5. Step 5: Solve for x
    x = 86,163,383,296/140,936
  6. Step 6: Final answer
    x = 611,365.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.