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Finding the Third Proportional to 135,984 and 299,152

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Solution

The third proportional to 135,984 and 299,152 is: 658,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,984 : 299,152 = 299,152 : x
  2. Step 2: Convert to fraction form
    135,984/299,152 = 299,152/x
  3. Step 3: Cross multiply
    135,984x = 299,152 × 299,152
  4. Step 4: Simplify right side
    135,984x = 89,491,919,104
  5. Step 5: Solve for x
    x = 89,491,919,104/135,984
  6. Step 6: Final answer
    x = 658,106.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.