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Finding the Third Proportional to 135,966 and 293,800

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Solution

The third proportional to 135,966 and 293,800 is: 634,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,966 : 293,800 = 293,800 : x
  2. Step 2: Convert to fraction form
    135,966/293,800 = 293,800/x
  3. Step 3: Cross multiply
    135,966x = 293,800 × 293,800
  4. Step 4: Simplify right side
    135,966x = 86,318,440,000
  5. Step 5: Solve for x
    x = 86,318,440,000/135,966
  6. Step 6: Final answer
    x = 634,853.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.