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Finding the Third Proportional to 123,438.94 and 269,497.13

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Solution

The third proportional to 123,438.94 and 269,497.13 is: 588,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438.94 : 269,497.13 = 269,497.13 : x
  2. Step 2: Convert to fraction form
    123,438.94/269,497.13 = 269,497.13/x
  3. Step 3: Cross multiply
    123,438.94x = 269,497.13 × 269,497.13
  4. Step 4: Simplify right side
    123,438.94x = 72,628,700,383.27
  5. Step 5: Solve for x
    x = 72,628,700,383.27/123,438.94
  6. Step 6: Final answer
    x = 588,377.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.