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Finding the Third Proportional to 172,476.84 and 269,206.03

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Solution

The third proportional to 172,476.84 and 269,206.03 is: 420,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,476.84 : 269,206.03 = 269,206.03 : x
  2. Step 2: Convert to fraction form
    172,476.84/269,206.03 = 269,206.03/x
  3. Step 3: Cross multiply
    172,476.84x = 269,206.03 × 269,206.03
  4. Step 4: Simplify right side
    172,476.84x = 72,471,887,261.38
  5. Step 5: Solve for x
    x = 72,471,887,261.38/172,476.84
  6. Step 6: Final answer
    x = 420,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.