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Finding the Third Proportional to 135,982 and 294,563

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Solution

The third proportional to 135,982 and 294,563 is: 638,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,982 : 294,563 = 294,563 : x
  2. Step 2: Convert to fraction form
    135,982/294,563 = 294,563/x
  3. Step 3: Cross multiply
    135,982x = 294,563 × 294,563
  4. Step 4: Simplify right side
    135,982x = 86,767,360,969
  5. Step 5: Solve for x
    x = 86,767,360,969/135,982
  6. Step 6: Final answer
    x = 638,079.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.