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Finding the Third Proportional to 135,980 and 294,559

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Solution

The third proportional to 135,980 and 294,559 is: 638,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980 : 294,559 = 294,559 : x
  2. Step 2: Convert to fraction form
    135,980/294,559 = 294,559/x
  3. Step 3: Cross multiply
    135,980x = 294,559 × 294,559
  4. Step 4: Simplify right side
    135,980x = 86,765,004,481
  5. Step 5: Solve for x
    x = 86,765,004,481/135,980
  6. Step 6: Final answer
    x = 638,071.81

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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.