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Finding the Third Proportional to 172,112 and 372,817

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Solution

The third proportional to 172,112 and 372,817 is: 807,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,112 : 372,817 = 372,817 : x
  2. Step 2: Convert to fraction form
    172,112/372,817 = 372,817/x
  3. Step 3: Cross multiply
    172,112x = 372,817 × 372,817
  4. Step 4: Simplify right side
    172,112x = 138,992,515,489
  5. Step 5: Solve for x
    x = 138,992,515,489/172,112
  6. Step 6: Final answer
    x = 807,570.16

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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.