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Finding the Third Proportional to 195,954.75 and 293,170.50

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Solution

The third proportional to 195,954.75 and 293,170.50 is: 438,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,954.75 : 293,170.50 = 293,170.50 : x
  2. Step 2: Convert to fraction form
    195,954.75/293,170.50 = 293,170.50/x
  3. Step 3: Cross multiply
    195,954.75x = 293,170.50 × 293,170.50
  4. Step 4: Simplify right side
    195,954.75x = 85,948,942,070.25
  5. Step 5: Solve for x
    x = 85,948,942,070.25/195,954.75
  6. Step 6: Final answer
    x = 438,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.