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Finding the Third Proportional to 151,960.22 and 330,677.44

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Solution

The third proportional to 151,960.22 and 330,677.44 is: 719,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,960.22 : 330,677.44 = 330,677.44 : x
  2. Step 2: Convert to fraction form
    151,960.22/330,677.44 = 330,677.44/x
  3. Step 3: Cross multiply
    151,960.22x = 330,677.44 × 330,677.44
  4. Step 4: Simplify right side
    151,960.22x = 109,347,567,671.57
  5. Step 5: Solve for x
    x = 109,347,567,671.57/151,960.22
  6. Step 6: Final answer
    x = 719,580.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.