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Finding the Third Proportional to 135,941 and 293,755

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Solution

The third proportional to 135,941 and 293,755 is: 634,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,941 : 293,755 = 293,755 : x
  2. Step 2: Convert to fraction form
    135,941/293,755 = 293,755/x
  3. Step 3: Cross multiply
    135,941x = 293,755 × 293,755
  4. Step 4: Simplify right side
    135,941x = 86,292,000,025
  5. Step 5: Solve for x
    x = 86,292,000,025/135,941
  6. Step 6: Final answer
    x = 634,775.38

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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.