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Finding the Third Proportional to 198,384.50 and 301,728.50

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Solution

The third proportional to 198,384.50 and 301,728.50 is: 458,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,384.50 : 301,728.50 = 301,728.50 : x
  2. Step 2: Convert to fraction form
    198,384.50/301,728.50 = 301,728.50/x
  3. Step 3: Cross multiply
    198,384.50x = 301,728.50 × 301,728.50
  4. Step 4: Simplify right side
    198,384.50x = 91,040,087,712.25
  5. Step 5: Solve for x
    x = 91,040,087,712.25/198,384.50
  6. Step 6: Final answer
    x = 458,907.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.