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Finding the Third Proportional to 117,517.08 and 265,464.21

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Solution

The third proportional to 117,517.08 and 265,464.21 is: 599,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,517.08 : 265,464.21 = 265,464.21 : x
  2. Step 2: Convert to fraction form
    117,517.08/265,464.21 = 265,464.21/x
  3. Step 3: Cross multiply
    117,517.08x = 265,464.21 × 265,464.21
  4. Step 4: Simplify right side
    117,517.08x = 70,471,247,288.67
  5. Step 5: Solve for x
    x = 70,471,247,288.67/117,517.08
  6. Step 6: Final answer
    x = 599,668.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.