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Finding the Third Proportional to 149,537.25 and 213,288.75

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Solution

The third proportional to 149,537.25 and 213,288.75 is: 304,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,537.25 : 213,288.75 = 213,288.75 : x
  2. Step 2: Convert to fraction form
    149,537.25/213,288.75 = 213,288.75/x
  3. Step 3: Cross multiply
    149,537.25x = 213,288.75 × 213,288.75
  4. Step 4: Simplify right side
    149,537.25x = 45,492,090,876.56
  5. Step 5: Solve for x
    x = 45,492,090,876.56/149,537.25
  6. Step 6: Final answer
    x = 304,219.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.