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Finding the Third Proportional to 172,053 and 404,811

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Solution

The third proportional to 172,053 and 404,811 is: 952,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,053 : 404,811 = 404,811 : x
  2. Step 2: Convert to fraction form
    172,053/404,811 = 404,811/x
  3. Step 3: Cross multiply
    172,053x = 404,811 × 404,811
  4. Step 4: Simplify right side
    172,053x = 163,871,945,721
  5. Step 5: Solve for x
    x = 163,871,945,721/172,053
  6. Step 6: Final answer
    x = 952,450.38

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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.