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Finding the Third Proportional to 133,036 and 295,633

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Solution

The third proportional to 133,036 and 295,633 is: 656,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,036 : 295,633 = 295,633 : x
  2. Step 2: Convert to fraction form
    133,036/295,633 = 295,633/x
  3. Step 3: Cross multiply
    133,036x = 295,633 × 295,633
  4. Step 4: Simplify right side
    133,036x = 87,398,870,689
  5. Step 5: Solve for x
    x = 87,398,870,689/133,036
  6. Step 6: Final answer
    x = 656,956.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.