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Finding the Third Proportional to 122,684.63 and 263,118.38

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Solution

The third proportional to 122,684.63 and 263,118.38 is: 564,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,684.63 : 263,118.38 = 263,118.38 : x
  2. Step 2: Convert to fraction form
    122,684.63/263,118.38 = 263,118.38/x
  3. Step 3: Cross multiply
    122,684.63x = 263,118.38 × 263,118.38
  4. Step 4: Simplify right side
    122,684.63x = 69,231,279,262.64
  5. Step 5: Solve for x
    x = 69,231,279,262.64/122,684.63
  6. Step 6: Final answer
    x = 564,302.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.