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Finding the Third Proportional to 273,168 and 427,569.75

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Solution

The third proportional to 273,168 and 427,569.75 is: 669,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,168 : 427,569.75 = 427,569.75 : x
  2. Step 2: Convert to fraction form
    273,168/427,569.75 = 427,569.75/x
  3. Step 3: Cross multiply
    273,168x = 427,569.75 × 427,569.75
  4. Step 4: Simplify right side
    273,168x = 182,815,891,115.06
  5. Step 5: Solve for x
    x = 182,815,891,115.06/273,168
  6. Step 6: Final answer
    x = 669,243.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.