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Finding the Third Proportional to 135,081 and 293,946

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Solution

The third proportional to 135,081 and 293,946 is: 639,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,081 : 293,946 = 293,946 : x
  2. Step 2: Convert to fraction form
    135,081/293,946 = 293,946/x
  3. Step 3: Cross multiply
    135,081x = 293,946 × 293,946
  4. Step 4: Simplify right side
    135,081x = 86,404,250,916
  5. Step 5: Solve for x
    x = 86,404,250,916/135,081
  6. Step 6: Final answer
    x = 639,647.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.