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Finding the Third Proportional to 85,296.50 and 198,289.25

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Solution

The third proportional to 85,296.50 and 198,289.25 is: 460,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,296.50 : 198,289.25 = 198,289.25 : x
  2. Step 2: Convert to fraction form
    85,296.50/198,289.25 = 198,289.25/x
  3. Step 3: Cross multiply
    85,296.50x = 198,289.25 × 198,289.25
  4. Step 4: Simplify right side
    85,296.50x = 39,318,626,665.56
  5. Step 5: Solve for x
    x = 39,318,626,665.56/85,296.50
  6. Step 6: Final answer
    x = 460,964.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.