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Finding the Third Proportional to 161,844.75 and 353,216.25

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Solution

The third proportional to 161,844.75 and 353,216.25 is: 770,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,844.75 : 353,216.25 = 353,216.25 : x
  2. Step 2: Convert to fraction form
    161,844.75/353,216.25 = 353,216.25/x
  3. Step 3: Cross multiply
    161,844.75x = 353,216.25 × 353,216.25
  4. Step 4: Simplify right side
    161,844.75x = 124,761,719,264.06
  5. Step 5: Solve for x
    x = 124,761,719,264.06/161,844.75
  6. Step 6: Final answer
    x = 770,872.82

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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.