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Finding the Third Proportional to 158,427.75 and 329,960.25

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Solution

The third proportional to 158,427.75 and 329,960.25 is: 687,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,427.75 : 329,960.25 = 329,960.25 : x
  2. Step 2: Convert to fraction form
    158,427.75/329,960.25 = 329,960.25/x
  3. Step 3: Cross multiply
    158,427.75x = 329,960.25 × 329,960.25
  4. Step 4: Simplify right side
    158,427.75x = 108,873,766,580.06
  5. Step 5: Solve for x
    x = 108,873,766,580.06/158,427.75
  6. Step 6: Final answer
    x = 687,213.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.