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Finding the Third Proportional to 172,046.25 and 404,838

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Solution

The third proportional to 172,046.25 and 404,838 is: 952,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.25 : 404,838 = 404,838 : x
  2. Step 2: Convert to fraction form
    172,046.25/404,838 = 404,838/x
  3. Step 3: Cross multiply
    172,046.25x = 404,838 × 404,838
  4. Step 4: Simplify right side
    172,046.25x = 163,893,806,244
  5. Step 5: Solve for x
    x = 163,893,806,244/172,046.25
  6. Step 6: Final answer
    x = 952,614.81

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