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Finding the Third Proportional to 134,836 and 293,204

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Solution

The third proportional to 134,836 and 293,204 is: 637,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,836 : 293,204 = 293,204 : x
  2. Step 2: Convert to fraction form
    134,836/293,204 = 293,204/x
  3. Step 3: Cross multiply
    134,836x = 293,204 × 293,204
  4. Step 4: Simplify right side
    134,836x = 85,968,585,616
  5. Step 5: Solve for x
    x = 85,968,585,616/134,836
  6. Step 6: Final answer
    x = 637,578.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.