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Finding the Third Proportional to 161,832.94 and 355,787.44

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Solution

The third proportional to 161,832.94 and 355,787.44 is: 782,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,832.94 : 355,787.44 = 355,787.44 : x
  2. Step 2: Convert to fraction form
    161,832.94/355,787.44 = 355,787.44/x
  3. Step 3: Cross multiply
    161,832.94x = 355,787.44 × 355,787.44
  4. Step 4: Simplify right side
    161,832.94x = 126,584,700,682.82
  5. Step 5: Solve for x
    x = 126,584,700,682.82/161,832.94
  6. Step 6: Final answer
    x = 782,193.68

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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.