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Finding the Third Proportional to 149,272 and 223,815.75

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Solution

The third proportional to 149,272 and 223,815.75 is: 335,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,272 : 223,815.75 = 223,815.75 : x
  2. Step 2: Convert to fraction form
    149,272/223,815.75 = 223,815.75/x
  3. Step 3: Cross multiply
    149,272x = 223,815.75 × 223,815.75
  4. Step 4: Simplify right side
    149,272x = 50,093,489,948.06
  5. Step 5: Solve for x
    x = 50,093,489,948.06/149,272
  6. Step 6: Final answer
    x = 335,585.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.