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Finding the Third Proportional to 133,952 and 295,162

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Solution

The third proportional to 133,952 and 295,162 is: 650,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,952 : 295,162 = 295,162 : x
  2. Step 2: Convert to fraction form
    133,952/295,162 = 295,162/x
  3. Step 3: Cross multiply
    133,952x = 295,162 × 295,162
  4. Step 4: Simplify right side
    133,952x = 87,120,606,244
  5. Step 5: Solve for x
    x = 87,120,606,244/133,952
  6. Step 6: Final answer
    x = 650,386.75

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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.