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Finding the Third Proportional to 135,266 and 293,860

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Solution

The third proportional to 135,266 and 293,860 is: 638,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,266 : 293,860 = 293,860 : x
  2. Step 2: Convert to fraction form
    135,266/293,860 = 293,860/x
  3. Step 3: Cross multiply
    135,266x = 293,860 × 293,860
  4. Step 4: Simplify right side
    135,266x = 86,353,699,600
  5. Step 5: Solve for x
    x = 86,353,699,600/135,266
  6. Step 6: Final answer
    x = 638,399.15

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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.