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Finding the Third Proportional to 135,302 and 293,661

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Solution

The third proportional to 135,302 and 293,661 is: 637,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,302 : 293,661 = 293,661 : x
  2. Step 2: Convert to fraction form
    135,302/293,661 = 293,661/x
  3. Step 3: Cross multiply
    135,302x = 293,661 × 293,661
  4. Step 4: Simplify right side
    135,302x = 86,236,782,921
  5. Step 5: Solve for x
    x = 86,236,782,921/135,302
  6. Step 6: Final answer
    x = 637,365.18

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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.