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Finding the Third Proportional to 332,160.75 and 468,072

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Solution

The third proportional to 332,160.75 and 468,072 is: 659,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,160.75 : 468,072 = 468,072 : x
  2. Step 2: Convert to fraction form
    332,160.75/468,072 = 468,072/x
  3. Step 3: Cross multiply
    332,160.75x = 468,072 × 468,072
  4. Step 4: Simplify right side
    332,160.75x = 219,091,397,184
  5. Step 5: Solve for x
    x = 219,091,397,184/332,160.75
  6. Step 6: Final answer
    x = 659,594.48

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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.