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Finding the Third Proportional to 229,506.86 and 252,880.42

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Solution

The third proportional to 229,506.86 and 252,880.42 is: 278,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506.86 : 252,880.42 = 252,880.42 : x
  2. Step 2: Convert to fraction form
    229,506.86/252,880.42 = 252,880.42/x
  3. Step 3: Cross multiply
    229,506.86x = 252,880.42 × 252,880.42
  4. Step 4: Simplify right side
    229,506.86x = 63,948,505,792.05
  5. Step 5: Solve for x
    x = 63,948,505,792.05/229,506.86
  6. Step 6: Final answer
    x = 278,634.40

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.