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Finding the Third Proportional to 123,666.75 and 269,475.75

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Solution

The third proportional to 123,666.75 and 269,475.75 is: 587,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,666.75 : 269,475.75 = 269,475.75 : x
  2. Step 2: Convert to fraction form
    123,666.75/269,475.75 = 269,475.75/x
  3. Step 3: Cross multiply
    123,666.75x = 269,475.75 × 269,475.75
  4. Step 4: Simplify right side
    123,666.75x = 72,617,179,838.06
  5. Step 5: Solve for x
    x = 72,617,179,838.06/123,666.75
  6. Step 6: Final answer
    x = 587,200.52

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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.