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Finding the Third Proportional to 195,943.50 and 293,154.75

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Solution

The third proportional to 195,943.50 and 293,154.75 is: 438,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,943.50 : 293,154.75 = 293,154.75 : x
  2. Step 2: Convert to fraction form
    195,943.50/293,154.75 = 293,154.75/x
  3. Step 3: Cross multiply
    195,943.50x = 293,154.75 × 293,154.75
  4. Step 4: Simplify right side
    195,943.50x = 85,939,707,447.56
  5. Step 5: Solve for x
    x = 85,939,707,447.56/195,943.50
  6. Step 6: Final answer
    x = 438,594.33

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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.