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Finding the Third Proportional to 133,949 and 295,156

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Solution

The third proportional to 133,949 and 295,156 is: 650,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,949 : 295,156 = 295,156 : x
  2. Step 2: Convert to fraction form
    133,949/295,156 = 295,156/x
  3. Step 3: Cross multiply
    133,949x = 295,156 × 295,156
  4. Step 4: Simplify right side
    133,949x = 87,117,064,336
  5. Step 5: Solve for x
    x = 87,117,064,336/133,949
  6. Step 6: Final answer
    x = 650,374.88

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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.