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Finding the Third Proportional to 135,961 and 293,791

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Solution

The third proportional to 135,961 and 293,791 is: 634,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961 : 293,791 = 293,791 : x
  2. Step 2: Convert to fraction form
    135,961/293,791 = 293,791/x
  3. Step 3: Cross multiply
    135,961x = 293,791 × 293,791
  4. Step 4: Simplify right side
    135,961x = 86,313,151,681
  5. Step 5: Solve for x
    x = 86,313,151,681/135,961
  6. Step 6: Final answer
    x = 634,837.58

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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.