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Finding the Third Proportional to 135,933 and 316,039

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Solution

The third proportional to 135,933 and 316,039 is: 734,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,933 : 316,039 = 316,039 : x
  2. Step 2: Convert to fraction form
    135,933/316,039 = 316,039/x
  3. Step 3: Cross multiply
    135,933x = 316,039 × 316,039
  4. Step 4: Simplify right side
    135,933x = 99,880,649,521
  5. Step 5: Solve for x
    x = 99,880,649,521/135,933
  6. Step 6: Final answer
    x = 734,778.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.