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Finding the Third Proportional to 150,305.63 and 330,672

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Solution

The third proportional to 150,305.63 and 330,672 is: 727,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,305.63 : 330,672 = 330,672 : x
  2. Step 2: Convert to fraction form
    150,305.63/330,672 = 330,672/x
  3. Step 3: Cross multiply
    150,305.63x = 330,672 × 330,672
  4. Step 4: Simplify right side
    150,305.63x = 109,343,971,584
  5. Step 5: Solve for x
    x = 109,343,971,584/150,305.63
  6. Step 6: Final answer
    x = 727,477.58

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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.