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Finding the Third Proportional to 230,396.63 and 505,078.88

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Solution

The third proportional to 230,396.63 and 505,078.88 is: 1,107,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,396.63 : 505,078.88 = 505,078.88 : x
  2. Step 2: Convert to fraction form
    230,396.63/505,078.88 = 505,078.88/x
  3. Step 3: Cross multiply
    230,396.63x = 505,078.88 × 505,078.88
  4. Step 4: Simplify right side
    230,396.63x = 255,104,669,971.27
  5. Step 5: Solve for x
    x = 255,104,669,971.27/230,396.63
  6. Step 6: Final answer
    x = 1,107,241.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.