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Finding the Third Proportional to 172,789 and 270,469

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Solution

The third proportional to 172,789 and 270,469 is: 423,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,789 : 270,469 = 270,469 : x
  2. Step 2: Convert to fraction form
    172,789/270,469 = 270,469/x
  3. Step 3: Cross multiply
    172,789x = 270,469 × 270,469
  4. Step 4: Simplify right side
    172,789x = 73,153,479,961
  5. Step 5: Solve for x
    x = 73,153,479,961/172,789
  6. Step 6: Final answer
    x = 423,368.85

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.