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Finding the Third Proportional to 227,651 and 334,093.50

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Solution

The third proportional to 227,651 and 334,093.50 is: 490,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,651 : 334,093.50 = 334,093.50 : x
  2. Step 2: Convert to fraction form
    227,651/334,093.50 = 334,093.50/x
  3. Step 3: Cross multiply
    227,651x = 334,093.50 × 334,093.50
  4. Step 4: Simplify right side
    227,651x = 111,618,466,742.25
  5. Step 5: Solve for x
    x = 111,618,466,742.25/227,651
  6. Step 6: Final answer
    x = 490,305.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.