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Finding the Third Proportional to 135,690 and 293,644

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Solution

The third proportional to 135,690 and 293,644 is: 635,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,690 : 293,644 = 293,644 : x
  2. Step 2: Convert to fraction form
    135,690/293,644 = 293,644/x
  3. Step 3: Cross multiply
    135,690x = 293,644 × 293,644
  4. Step 4: Simplify right side
    135,690x = 86,226,798,736
  5. Step 5: Solve for x
    x = 86,226,798,736/135,690
  6. Step 6: Final answer
    x = 635,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.