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Finding the Third Proportional to 172,046 and 404,786.75

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Solution

The third proportional to 172,046 and 404,786.75 is: 952,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046 : 404,786.75 = 404,786.75 : x
  2. Step 2: Convert to fraction form
    172,046/404,786.75 = 404,786.75/x
  3. Step 3: Cross multiply
    172,046x = 404,786.75 × 404,786.75
  4. Step 4: Simplify right side
    172,046x = 163,852,312,975.56
  5. Step 5: Solve for x
    x = 163,852,312,975.56/172,046
  6. Step 6: Final answer
    x = 952,375.02

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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.