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Finding the Third Proportional to 135,979 and 294,558

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Solution

The third proportional to 135,979 and 294,558 is: 638,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,979 : 294,558 = 294,558 : x
  2. Step 2: Convert to fraction form
    135,979/294,558 = 294,558/x
  3. Step 3: Cross multiply
    135,979x = 294,558 × 294,558
  4. Step 4: Simplify right side
    135,979x = 86,764,415,364
  5. Step 5: Solve for x
    x = 86,764,415,364/135,979
  6. Step 6: Final answer
    x = 638,072.17

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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.