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Finding the Third Proportional to 183,437.50 and 428,794.50

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Solution

The third proportional to 183,437.50 and 428,794.50 is: 1,002,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,437.50 : 428,794.50 = 428,794.50 : x
  2. Step 2: Convert to fraction form
    183,437.50/428,794.50 = 428,794.50/x
  3. Step 3: Cross multiply
    183,437.50x = 428,794.50 × 428,794.50
  4. Step 4: Simplify right side
    183,437.50x = 183,864,723,230.25
  5. Step 5: Solve for x
    x = 183,864,723,230.25/183,437.50
  6. Step 6: Final answer
    x = 1,002,328.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.