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Finding the Third Proportional to 135,930 and 293,731

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Solution

The third proportional to 135,930 and 293,731 is: 634,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930 : 293,731 = 293,731 : x
  2. Step 2: Convert to fraction form
    135,930/293,731 = 293,731/x
  3. Step 3: Cross multiply
    135,930x = 293,731 × 293,731
  4. Step 4: Simplify right side
    135,930x = 86,277,900,361
  5. Step 5: Solve for x
    x = 86,277,900,361/135,930
  6. Step 6: Final answer
    x = 634,723.02

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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.