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Finding the Third Proportional to 135,393 and 293,385

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Solution

The third proportional to 135,393 and 293,385 is: 635,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,393 : 293,385 = 293,385 : x
  2. Step 2: Convert to fraction form
    135,393/293,385 = 293,385/x
  3. Step 3: Cross multiply
    135,393x = 293,385 × 293,385
  4. Step 4: Simplify right side
    135,393x = 86,074,758,225
  5. Step 5: Solve for x
    x = 86,074,758,225/135,393
  6. Step 6: Final answer
    x = 635,740.09

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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.