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Finding the Third Proportional to 173,634.75 and 352,100.25

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Solution

The third proportional to 173,634.75 and 352,100.25 is: 713,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,634.75 : 352,100.25 = 352,100.25 : x
  2. Step 2: Convert to fraction form
    173,634.75/352,100.25 = 352,100.25/x
  3. Step 3: Cross multiply
    173,634.75x = 352,100.25 × 352,100.25
  4. Step 4: Simplify right side
    173,634.75x = 123,974,586,050.06
  5. Step 5: Solve for x
    x = 123,974,586,050.06/173,634.75
  6. Step 6: Final answer
    x = 713,996.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.