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Finding the Third Proportional to 195,328.50 and 293,512.50

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Solution

The third proportional to 195,328.50 and 293,512.50 is: 441,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,328.50 : 293,512.50 = 293,512.50 : x
  2. Step 2: Convert to fraction form
    195,328.50/293,512.50 = 293,512.50/x
  3. Step 3: Cross multiply
    195,328.50x = 293,512.50 × 293,512.50
  4. Step 4: Simplify right side
    195,328.50x = 86,149,587,656.25
  5. Step 5: Solve for x
    x = 86,149,587,656.25/195,328.50
  6. Step 6: Final answer
    x = 441,049.76

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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.