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Finding the Third Proportional to 218,794.50 and 328,414.50

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Solution

The third proportional to 218,794.50 and 328,414.50 is: 492,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,794.50 : 328,414.50 = 328,414.50 : x
  2. Step 2: Convert to fraction form
    218,794.50/328,414.50 = 328,414.50/x
  3. Step 3: Cross multiply
    218,794.50x = 328,414.50 × 328,414.50
  4. Step 4: Simplify right side
    218,794.50x = 107,856,083,810.25
  5. Step 5: Solve for x
    x = 107,856,083,810.25/218,794.50
  6. Step 6: Final answer
    x = 492,956.10

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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.