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Finding the Third Proportional to 84,813.75 and 178,344

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Solution

The third proportional to 84,813.75 and 178,344 is: 375,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,813.75 : 178,344 = 178,344 : x
  2. Step 2: Convert to fraction form
    84,813.75/178,344 = 178,344/x
  3. Step 3: Cross multiply
    84,813.75x = 178,344 × 178,344
  4. Step 4: Simplify right side
    84,813.75x = 31,806,582,336
  5. Step 5: Solve for x
    x = 31,806,582,336/84,813.75
  6. Step 6: Final answer
    x = 375,016.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.