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Finding the Third Proportional to 172,040 and 404,775

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Solution

The third proportional to 172,040 and 404,775 is: 952,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,040 : 404,775 = 404,775 : x
  2. Step 2: Convert to fraction form
    172,040/404,775 = 404,775/x
  3. Step 3: Cross multiply
    172,040x = 404,775 × 404,775
  4. Step 4: Simplify right side
    172,040x = 163,842,800,625
  5. Step 5: Solve for x
    x = 163,842,800,625/172,040
  6. Step 6: Final answer
    x = 952,352.94

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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.