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Finding the Third Proportional to 172,150 and 372,886

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Solution

The third proportional to 172,150 and 372,886 is: 807,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,150 : 372,886 = 372,886 : x
  2. Step 2: Convert to fraction form
    172,150/372,886 = 372,886/x
  3. Step 3: Cross multiply
    172,150x = 372,886 × 372,886
  4. Step 4: Simplify right side
    172,150x = 139,043,968,996
  5. Step 5: Solve for x
    x = 139,043,968,996/172,150
  6. Step 6: Final answer
    x = 807,690.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.