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Finding the Third Proportional to 269,187 and 365,737.50

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Solution

The third proportional to 269,187 and 365,737.50 is: 496,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187 : 365,737.50 = 365,737.50 : x
  2. Step 2: Convert to fraction form
    269,187/365,737.50 = 365,737.50/x
  3. Step 3: Cross multiply
    269,187x = 365,737.50 × 365,737.50
  4. Step 4: Simplify right side
    269,187x = 133,763,918,906.25
  5. Step 5: Solve for x
    x = 133,763,918,906.25/269,187
  6. Step 6: Final answer
    x = 496,918.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.