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Finding the Third Proportional to 135,420 and 293,438

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Solution

The third proportional to 135,420 and 293,438 is: 635,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,420 : 293,438 = 293,438 : x
  2. Step 2: Convert to fraction form
    135,420/293,438 = 293,438/x
  3. Step 3: Cross multiply
    135,420x = 293,438 × 293,438
  4. Step 4: Simplify right side
    135,420x = 86,105,859,844
  5. Step 5: Solve for x
    x = 86,105,859,844/135,420
  6. Step 6: Final answer
    x = 635,843.01

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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.