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Finding the Third Proportional to 135,424 and 293,446

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Solution

The third proportional to 135,424 and 293,446 is: 635,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,424 : 293,446 = 293,446 : x
  2. Step 2: Convert to fraction form
    135,424/293,446 = 293,446/x
  3. Step 3: Cross multiply
    135,424x = 293,446 × 293,446
  4. Step 4: Simplify right side
    135,424x = 86,110,554,916
  5. Step 5: Solve for x
    x = 86,110,554,916/135,424
  6. Step 6: Final answer
    x = 635,858.89

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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.