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Finding the Third Proportional to 332,147.25 and 468,051.75

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Solution

The third proportional to 332,147.25 and 468,051.75 is: 659,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,147.25 : 468,051.75 = 468,051.75 : x
  2. Step 2: Convert to fraction form
    332,147.25/468,051.75 = 468,051.75/x
  3. Step 3: Cross multiply
    332,147.25x = 468,051.75 × 468,051.75
  4. Step 4: Simplify right side
    332,147.25x = 219,072,440,678.06
  5. Step 5: Solve for x
    x = 219,072,440,678.06/332,147.25
  6. Step 6: Final answer
    x = 659,564.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.