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Finding the Third Proportional to 218,996.16 and 332,606.25

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Solution

The third proportional to 218,996.16 and 332,606.25 is: 505,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,996.16 : 332,606.25 = 332,606.25 : x
  2. Step 2: Convert to fraction form
    218,996.16/332,606.25 = 332,606.25/x
  3. Step 3: Cross multiply
    218,996.16x = 332,606.25 × 332,606.25
  4. Step 4: Simplify right side
    218,996.16x = 110,626,917,539.06
  5. Step 5: Solve for x
    x = 110,626,917,539.06/218,996.16
  6. Step 6: Final answer
    x = 505,154.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.