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Finding the Third Proportional to 172,048 and 404,791

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Solution

The third proportional to 172,048 and 404,791 is: 952,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048 : 404,791 = 404,791 : x
  2. Step 2: Convert to fraction form
    172,048/404,791 = 404,791/x
  3. Step 3: Cross multiply
    172,048x = 404,791 × 404,791
  4. Step 4: Simplify right side
    172,048x = 163,855,753,681
  5. Step 5: Solve for x
    x = 163,855,753,681/172,048
  6. Step 6: Final answer
    x = 952,383.95

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.