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Finding the Third Proportional to 195,330 and 396,088.50

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Solution

The third proportional to 195,330 and 396,088.50 is: 803,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,330 : 396,088.50 = 396,088.50 : x
  2. Step 2: Convert to fraction form
    195,330/396,088.50 = 396,088.50/x
  3. Step 3: Cross multiply
    195,330x = 396,088.50 × 396,088.50
  4. Step 4: Simplify right side
    195,330x = 156,886,099,832.25
  5. Step 5: Solve for x
    x = 156,886,099,832.25/195,330
  6. Step 6: Final answer
    x = 803,184.87

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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.