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Finding the Third Proportional to 112,700.25 and 263,399.63

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Solution

The third proportional to 112,700.25 and 263,399.63 is: 615,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,700.25 : 263,399.63 = 263,399.63 : x
  2. Step 2: Convert to fraction form
    112,700.25/263,399.63 = 263,399.63/x
  3. Step 3: Cross multiply
    112,700.25x = 263,399.63 × 263,399.63
  4. Step 4: Simplify right side
    112,700.25x = 69,379,362,450.14
  5. Step 5: Solve for x
    x = 69,379,362,450.14/112,700.25
  6. Step 6: Final answer
    x = 615,609.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.