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Finding the Third Proportional to 225,055 and 318,441.50

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Solution

The third proportional to 225,055 and 318,441.50 is: 450,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,055 : 318,441.50 = 318,441.50 : x
  2. Step 2: Convert to fraction form
    225,055/318,441.50 = 318,441.50/x
  3. Step 3: Cross multiply
    225,055x = 318,441.50 × 318,441.50
  4. Step 4: Simplify right side
    225,055x = 101,404,988,922.25
  5. Step 5: Solve for x
    x = 101,404,988,922.25/225,055
  6. Step 6: Final answer
    x = 450,578.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.