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Finding the Third Proportional to 172,906 and 403,856

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Solution

The third proportional to 172,906 and 403,856 is: 943,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,906 : 403,856 = 403,856 : x
  2. Step 2: Convert to fraction form
    172,906/403,856 = 403,856/x
  3. Step 3: Cross multiply
    172,906x = 403,856 × 403,856
  4. Step 4: Simplify right side
    172,906x = 163,099,668,736
  5. Step 5: Solve for x
    x = 163,099,668,736/172,906
  6. Step 6: Final answer
    x = 943,285.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.