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Finding the Third Proportional to 135,390 and 293,744

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Solution

The third proportional to 135,390 and 293,744 is: 637,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,390 : 293,744 = 293,744 : x
  2. Step 2: Convert to fraction form
    135,390/293,744 = 293,744/x
  3. Step 3: Cross multiply
    135,390x = 293,744 × 293,744
  4. Step 4: Simplify right side
    135,390x = 86,285,537,536
  5. Step 5: Solve for x
    x = 86,285,537,536/135,390
  6. Step 6: Final answer
    x = 637,311.01

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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.